{"id":"https://openalex.org/W1490213758","doi":"https://doi.org/10.6092/issn.2240-2829/4741","title":"On Optimal Hardy Inequalities in Cones","display_name":"On Optimal Hardy Inequalities in Cones","publication_year":2015,"publication_date":"2015-02-24","ids":{"openalex":"https://openalex.org/W1490213758","doi":"https://doi.org/10.6092/issn.2240-2829/4741","mag":"1490213758"},"language":"en","primary_location":{"id":"pmh:oai:journals.unibo.it:article/4741","doi":null,"is_oa":true,"landing_page_url":"https://mathematicalanalysis.unibo.it/article/view/4741","pdf_url":"https://mathematicalanalysis.unibo.it/article/download/4741/4219","source":{"id":"https://openalex.org/S2737548969","display_name":"Bruno Pini mathematical analysis Seminar","issn_l":"2240-2829","issn":["2240-2829"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310317724","host_organization_name":"University of Bologna","host_organization_lineage":["https://openalex.org/P4310317724"],"host_organization_lineage_names":["University of Bologna"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2240-2829","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://mathematicalanalysis.unibo.it/article/download/4741/4219","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050303427","display_name":"Baptiste Devyver","orcid":"https://orcid.org/0000-0001-5419-0477","observed_orcids":["https://orcid.org/0000-0001-5419-0477"]},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Devyver, Baptiste","raw_affiliation_strings":["University of British Columbia/Vancouver"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia/Vancouver","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016714048","display_name":"Yehuda Pinchover","orcid":"https://orcid.org/0000-0002-2845-1570","observed_orcids":["https://orcid.org/0000-0002-2845-1570"]},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Pinchover, Yehuda","raw_affiliation_strings":["Department of Mathematics, Technion, Israel Institute of Technology, Haifa,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technion, Israel Institute of Technology, Haifa,","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068076054","display_name":"Georgios Psaradakis","orcid":"https://orcid.org/0000-0003-0282-329X","observed_orcids":["https://orcid.org/0000-0003-0282-329X"]},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Psaradakis, Georgios","raw_affiliation_strings":["Department of Mathematics, Technion, Israel Institute of Technology, Haifa,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technion, Israel Institute of Technology, Haifa,","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.779,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63637088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"5","issue":"1","first_page":"67","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9487000107765198,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9487000107765198,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.04479999840259552,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hardy-s-inequality","display_name":"Hardy inequality","score":0.7519999742507935},{"id":"https://openalex.org/keywords/cones","display_name":"cones","score":0.6919999718666077},{"id":"https://openalex.org/keywords/hardy-potential","display_name":"Hardy potential","score":0.9079999923706055},{"id":"https://openalex.org/keywords/sharp-constants","display_name":"sharp constants","score":0.6060000061988831},{"id":"https://openalex.org/keywords/ground-state","display_name":"ground state","score":0.8759999871253967},{"id":"https://openalex.org/keywords/distance-to-boundary","display_name":"distance to boundary","score":0.6840000152587891}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8069918155670166},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.7405761480331421},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5756558179855347},{"id":"https://openalex.org/C42178598","wikidata":"https://www.wikidata.org/wiki/Q1585233","display_name":"Hardy space","level":2,"score":0.5717803835868835},{"id":"https://openalex.org/C194800363","wikidata":"https://www.wikidata.org/wiki/Q8588","display_name":"Schr\u00f6dinger's cat","level":2,"score":0.5355327725410461},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5324099063873291},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.528278648853302},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4815945327281952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4672189950942993},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46318483352661133},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08744943141937256},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:journals.unibo.it:article/4741","doi":null,"is_oa":true,"landing_page_url":"https://mathematicalanalysis.unibo.it/article/view/4741","pdf_url":"https://mathematicalanalysis.unibo.it/article/download/4741/4219","source":{"id":"https://openalex.org/S2737548969","display_name":"Bruno Pini mathematical analysis Seminar","issn_l":"2240-2829","issn":["2240-2829"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310317724","host_organization_name":"University of Bologna","host_organization_lineage":["https://openalex.org/P4310317724"],"host_organization_lineage_names":["University of Bologna"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2240-2829","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:4db331a31d624c05b84ad4f813e550d7","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/4db331a31d624c05b84ad4f813e550d7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bruno Pini Mathematical Analysis Seminar, Vol 5, Iss 1, Pp 67-82 (2014)","raw_type":"article"},{"id":"mag:1490213758","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1502.05205","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.6092/issn.2240-2829/4741","doi":"https://doi.org/10.6092/issn.2240-2829/4741","is_oa":true,"landing_page_url":"https://doi.org/10.6092/issn.2240-2829/4741","pdf_url":null,"source":{"id":"https://openalex.org/S7407050985","display_name":"Universit\u00e0 degli Studi di Bologna","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:journals.unibo.it:article/4741","doi":null,"is_oa":true,"landing_page_url":"https://mathematicalanalysis.unibo.it/article/view/4741","pdf_url":"https://mathematicalanalysis.unibo.it/article/download/4741/4219","source":{"id":"https://openalex.org/S2737548969","display_name":"Bruno Pini mathematical analysis Seminar","issn_l":"2240-2829","issn":["2240-2829"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310317724","host_organization_name":"University of Bologna","host_organization_lineage":["https://openalex.org/P4310317724"],"host_organization_lineage_names":["University of Bologna"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2240-2829","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G474410374","display_name":null,"funder_award_id":"963/11","funder_id":"https://openalex.org/F4320322248","funder_display_name":"Israel Academy of Sciences and Humanities"}],"funders":[{"id":"https://openalex.org/F4320322248","display_name":"Israel Academy of Sciences and Humanities","ror":"https://ror.org/03c6c9520"},{"id":"https://openalex.org/F4320323553","display_name":"Universit\u00e0 di Bologna","ror":"https://ror.org/01111rn36"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1490213758.pdf","grobid_xml":"https://content.openalex.org/works/W1490213758.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W174613478","https://openalex.org/W1528193850","https://openalex.org/W1571966798","https://openalex.org/W1597421777","https://openalex.org/W1607075345","https://openalex.org/W1617721712","https://openalex.org/W1638375156","https://openalex.org/W1687972105","https://openalex.org/W1698212616","https://openalex.org/W1990653611","https://openalex.org/W2004568659","https://openalex.org/W2007008444","https://openalex.org/W2017625993","https://openalex.org/W2019654768","https://openalex.org/W2043985822","https://openalex.org/W2046780459","https://openalex.org/W2049371869","https://openalex.org/W2053003554","https://openalex.org/W2062602049","https://openalex.org/W2092176673","https://openalex.org/W2136826022","https://openalex.org/W2145873508","https://openalex.org/W2146681455","https://openalex.org/W2253858688","https://openalex.org/W2283831819","https://openalex.org/W2296319761","https://openalex.org/W2313158275","https://openalex.org/W2486559729","https://openalex.org/W2529322522","https://openalex.org/W2547981361","https://openalex.org/W2962684011","https://openalex.org/W3101472063","https://openalex.org/W4237805125"],"related_works":["https://openalex.org/W2547981361","https://openalex.org/W2053003554","https://openalex.org/W3182496661","https://openalex.org/W7099210458","https://openalex.org/W2036786042","https://openalex.org/W1487865805","https://openalex.org/W2581752125","https://openalex.org/W1601233495","https://openalex.org/W4309886653","https://openalex.org/W2000468170"],"abstract_inverted_index":{"For":[0],"a":[1,7,12],"given":[2,13],"subcritical":[3],"Schr\u00f6dinger":[4],"operator":[5],"in":[6,9],"cone":[8],"\u211dn":[10],"with":[11],"Hardy":[14,44],"potential":[15],"corresponding":[16,49],"to":[17,20],"the":[18,21,24,41,48],"distance":[19],"boundary":[22],"of":[23],"cone,":[25],"we":[26,35],"present":[27,36],"an":[28,37],"explicit":[29,38],"optimal":[30],"Hardy-type":[31],"improvement.":[32],"In":[33],"particular,":[34],"expression":[39],"for":[40,47],"associate":[42],"best":[43],"constant,":[45],"and":[46],"ground":[50],"state.":[51]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}