{"id":"https://openalex.org/W1846376331","doi":"https://doi.org/10.1007/978-3-0348-8069-5_11","title":"On a Nonsymmetric Version of the Khinchine-Kahane Inequality","display_name":"On a Nonsymmetric Version of the Khinchine-Kahane Inequality","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1846376331","doi":"https://doi.org/10.1007/978-3-0348-8069-5_11","mag":"1846376331"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-0348-8069-5_11","doi":"https://doi.org/10.1007/978-3-0348-8069-5_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-8069-5_11","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastic Inequalities and Applications","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W596498722","display_name":"Stochastic Inequalities and Applications"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072203214","display_name":"Krzysztof Oleszkiewicz","orcid":"https://orcid.org/0000-0003-3187-0538","observed_orcids":["https://orcid.org/0000-0003-3187-0538"]},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Oleszkiewicz","raw_affiliation_strings":["Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072203214"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":4.4073,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.93650794,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"157","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.7919999957084656,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.7919999957084656,"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/T13500","display_name":"Probability and Statistical Research","score":0.08479999750852585,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.02979999966919422,"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/bernoulli-random-variables","display_name":"Bernoulli random variables","score":0.8199999928474426},{"id":"https://openalex.org/keywords/hypercontractivity","display_name":"hypercontractivity","score":0.9079999923706055}],"concepts":[{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5718583464622498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31000977754592896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09392386674880981}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-0348-8069-5_11","doi":"https://doi.org/10.1007/978-3-0348-8069-5_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-8069-5_11","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Stochastic Inequalities and Applications","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W4985749","https://openalex.org/W55457573","https://openalex.org/W1502986712","https://openalex.org/W1537193711","https://openalex.org/W1546372806","https://openalex.org/W1571984195","https://openalex.org/W1574576267","https://openalex.org/W1654586045","https://openalex.org/W1979694908","https://openalex.org/W1990876436","https://openalex.org/W1995703140","https://openalex.org/W2012362409","https://openalex.org/W2035240057","https://openalex.org/W2043013518","https://openalex.org/W2077810240","https://openalex.org/W2080479164","https://openalex.org/W2094654291","https://openalex.org/W2334237942","https://openalex.org/W2574800215","https://openalex.org/W3104153247"],"related_works":["https://openalex.org/W1971323691","https://openalex.org/W2805243342","https://openalex.org/W2518198710","https://openalex.org/W7221753456","https://openalex.org/W1574576267","https://openalex.org/W2011818088","https://openalex.org/W1034819515","https://openalex.org/W7005439246","https://openalex.org/W3023837565","https://openalex.org/W1502986712"],"abstract_inverted_index":{"We":[0],"prove":[1],"a":[2,43],"new":[3],"version":[4],"of":[5],"the":[6,23,38],"Khinchine\u2014Kahane":[7],"inequality":[8,24],"in":[9,22],"which":[10],"Bernoulli":[11,45],"random":[12,46],"variables":[13],"no":[14],"longer":[15],"need":[16],"to":[17,28],"be":[18],"symmetric.":[19],"The":[20,32],"constant":[21,41],"is":[25,48,59],"optimal":[26,39],"up":[27],"some":[29],"universal":[30],"factor.":[31],"proof":[33],"uses":[34],"hypercontractive":[35],"methods":[36],"and":[37],"hypercontractivity":[40],"for":[42],"mean-zero":[44],"variable":[47],"found.":[49],"A":[50],"simple":[51],"observation":[52],"generalizing":[53],"Pisier\u2019s":[54],"Rademacher":[55],"projection":[56],"norm":[57],"estimate":[58],"added.":[60]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}