{"id":"https://openalex.org/W7212928568","doi":"https://doi.org/10.48550/arxiv.2609.12755","title":"Cumulative angular cancellation in Maz'ya's endpoint inequalities","display_name":"Cumulative angular cancellation in Maz'ya's endpoint inequalities","publication_year":2026,"publication_date":"2026-09-11","ids":{"openalex":"https://openalex.org/W7212928568","doi":"https://doi.org/10.48550/arxiv.2609.12755"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.12755","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12755","pdf_url":"https://arxiv.org/pdf/2609.12755","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.12755","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151675702","display_name":"Zhouyu Long","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long, Zhouyu","raw_affiliation_strings":["Department of Mathematical Sciences , Tsinghua University , Beijing 100084 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5095368322","display_name":"Wenming Zou","orcid":"https://orcid.org/0000-0002-4178-9568","observed_orcids":["https://orcid.org/0000-0002-4178-9568"]},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zou, Wenming","raw_affiliation_strings":["Department of Mathematical Sciences , Tsinghua University , Beijing 100084 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , Tsinghua University , Beijing 100084 , China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9961000084877014,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0010999999940395355,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.00039999998989515007,"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/strictly-convex-domains","display_name":"strictly convex domains","score":0.8659999966621399},{"id":"https://openalex.org/keywords/polygons","display_name":"polygons","score":0.41100001335144043},{"id":"https://openalex.org/keywords/density-estimates","display_name":"density estimates","score":0.6159999966621399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8065999746322632},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5493999719619751},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5041999816894531},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5029000043869019},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.4763000011444092},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.4731999933719635},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.46480000019073486},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4447999894618988},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4002000093460083},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.38179999589920044},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3725999891757965},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3686999976634979},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35659998655319214},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.33230000734329224},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.3294000029563904},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.3285999894142151},{"id":"https://openalex.org/C24167531","wikidata":"https://www.wikidata.org/wiki/Q2300767","display_name":"Transversality","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C149944404","wikidata":"https://www.wikidata.org/wiki/Q2392464","display_name":"Tangent cone","level":3,"score":0.319599986076355},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.319599986076355},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.27880001068115234},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2678000032901764},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.2556999921798706},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.12755","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12755","pdf_url":"https://arxiv.org/pdf/2609.12755","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.12755","doi":"https://doi.org/10.48550/arxiv.2609.12755","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.12755","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":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.12755","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12755","pdf_url":"https://arxiv.org/pdf/2609.12755","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212928568.pdf","grobid_xml":"https://content.openalex.org/works/W7212928568.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W130356082","https://openalex.org/W1571303534","https://openalex.org/W2027365306","https://openalex.org/W2056989316","https://openalex.org/W2060969350","https://openalex.org/W2089537269","https://openalex.org/W2143733648","https://openalex.org/W2754632353","https://openalex.org/W2963976543","https://openalex.org/W2990822432","https://openalex.org/W3201405628","https://openalex.org/W4248190149","https://openalex.org/W4391056953","https://openalex.org/W7123353248"],"related_works":["https://openalex.org/W7123353248","https://openalex.org/W4366245941","https://openalex.org/W3161867918","https://openalex.org/W7212178845","https://openalex.org/W269339214","https://openalex.org/W2047890122","https://openalex.org/W7100684712","https://openalex.org/W105025377","https://openalex.org/W4298180975","https://openalex.org/W2962975312"],"abstract_inverted_index":{"We":[0,125],"establish":[1],"domain":[2],"criteria":[3],"for":[4,97,101],"critical":[5],"homogeneous":[6],"potential":[7],"inequalities":[8,114],"in":[9],"the":[10,28,38,94,116],"plane.":[11],"Assuming":[12],"signed":[13,48,133],"plane":[14],"cancellation,":[15],"uniform":[16,45],"absolute":[17],"summability":[18],"of":[19,47,67],"frozen":[20],"annular":[21],"moments":[22,50],"at":[23],"each":[24],"boundary":[25],"centre":[26],"implies":[27],"nonlinear":[29],"endpoint":[30],"estimate":[31,95],"on":[32,76,115,120,130],"arbitrary":[33],"bounded":[34],"open":[35],"sets.":[36],"For":[37],"Newton":[39],"kernel":[40],"and":[41,55,60,65,99,119],"trace-free":[42],"quadratic":[43,128,139],"integrands,":[44],"boundedness":[46],"cumulative":[49],"over":[51],"all":[52,63],"source":[53],"centres":[54],"truncation":[56],"radii":[57],"is":[58,136],"necessary":[59],"sufficient;":[61],"testing":[62],"translates":[64],"dilates":[66],"one":[68,87],"fixed":[69],"radial":[70],"unit-mass":[71],"mollifier":[72],"suffices.":[73],"Tangent-cone":[74],"cancellation":[75,129],"finitely":[77],"cornered":[78],"Dini":[79,117],"domains":[80],"follows":[81],"as":[82],"a":[83],"geometric":[84],"corollary.":[85],"On":[86],"explicit":[88],"strictly":[89,121],"convex,":[90],"non-Dini":[91],"$C^1$":[92,123],"domain,":[93],"holds":[96],"$2\u03be_1\u03be_2$":[98],"fails":[100],"$\u03be_1^2-\u03be_2^2$":[102],"with":[103],"$\\log\\log(1/\\varepsilon)$":[104],"divergence.":[105],"A":[106],"Laplacian-measure":[107],"extension":[108],"transfers":[109],"density":[110],"estimates":[111],"to":[112,138],"PDE":[113],"class":[118],"convex":[122],"domains.":[124],"also":[126],"classify":[127],"polygons.":[131],"The":[132],"necessary-and-sufficient":[134],"criterion":[135],"restricted":[137],"integrands.":[140]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-09-15T00:00:00"}
