{"id":"https://openalex.org/W7124556786","doi":"https://doi.org/10.5281/zenodo.18270976","title":"Schatten-von Neumann properties of Toeplitz operators on fractional parabolic Hardy spaces","display_name":"Schatten-von Neumann properties of Toeplitz operators on fractional parabolic Hardy spaces","publication_year":2026,"publication_date":"2026-01-16","ids":{"openalex":"https://openalex.org/W7124556786","doi":"https://doi.org/10.5281/zenodo.18270976"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.18270976","doi":"https://doi.org/10.5281/zenodo.18270976","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18270976","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.18270976","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068257468","display_name":"Shuhei Kuwahara","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kuwahara, Shuhei","raw_affiliation_strings":["Sapporo Seishu High School"],"raw_orcid":"https://orcid.org/0000-0001-6527-5986","affiliations":[{"raw_affiliation_string":"Sapporo Seishu High School","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5068257468"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9829000234603882,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9829000234603882,"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":0.012400000356137753,"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":0.0012000000569969416,"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/toeplitz-operators","display_name":"Toeplitz operators","score":0.9959999918937683},{"id":"https://openalex.org/keywords/schatten-von-neumann-classes","display_name":"Schatten-von Neumann classes","score":0.9739999771118164},{"id":"https://openalex.org/keywords/berezin-transform","display_name":"Berezin transform","score":0.9710000157356262},{"id":"https://openalex.org/keywords/quantitative-stability","display_name":"quantitative stability","score":0.6600000262260437},{"id":"https://openalex.org/keywords/fractional-parameter","display_name":"fractional parameter","score":0.38999998569488525}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8568999767303467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8115000128746033},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7246999740600586},{"id":"https://openalex.org/C42178598","wikidata":"https://www.wikidata.org/wiki/Q1585233","display_name":"Hardy space","level":2,"score":0.711899995803833},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5835999846458435},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5432999730110168},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5295000076293945},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.5123000144958496},{"id":"https://openalex.org/C2775975512","wikidata":"https://www.wikidata.org/wiki/Q7812935","display_name":"Toeplitz operator","level":3,"score":0.5113999843597412},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4603999853134155},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4456999897956848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39800000190734863},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C21261745","wikidata":"https://www.wikidata.org/wiki/Q7941491","display_name":"Von Neumann's theorem","level":4,"score":0.2825999855995178},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.2630999982357025},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.5281/zenodo.18270976","doi":"https://doi.org/10.5281/zenodo.18270976","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18270976","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},{"id":"doi:10.5281/zenodo.18270977","doi":"https://doi.org/10.5281/zenodo.18270977","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18270977","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},{"id":"doi:10.5281/zenodo.18275380","doi":"https://doi.org/10.5281/zenodo.18275380","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18275380","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},{"id":"doi:10.5281/zenodo.18275485","doi":"https://doi.org/10.5281/zenodo.18275485","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18275485","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},{"id":"doi:10.5281/zenodo.18308447","doi":"https://doi.org/10.5281/zenodo.18308447","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18308447","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},{"id":"doi:10.5281/zenodo.18308587","doi":"https://doi.org/10.5281/zenodo.18308587","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18308587","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.18270976","doi":"https://doi.org/10.5281/zenodo.18270976","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.18270976","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7123275398","https://openalex.org/W2046884415","https://openalex.org/W4391459824","https://openalex.org/W2467982752","https://openalex.org/W2024755237","https://openalex.org/W2025656826","https://openalex.org/W2289483663","https://openalex.org/W1577830591","https://openalex.org/W3163263187","https://openalex.org/W2115520061"],"abstract_inverted_index":{"We":[0,13],"study":[1],"Toeplitz":[2,36,68],"operators":[3,21,37,69],"acting":[4],"on":[5,70],"parabolic":[6,72],"Hardy":[7,73],"spaces":[8],"associated":[9,52],"with":[10,38],"fractional":[11,41,71],"heatoperators.":[12],"establish":[14],"Schatten\u2013von":[15],"Neumann":[16],"class":[17],"characterizations":[18],"for":[19],"these":[20],"interms":[22],"of":[23,35,67],"Carleson-type":[24],"measure":[25],"conditions":[26],"and":[27],"Berezin":[28],"transforms.Moreover,":[29],"we":[30,47],"investigate":[31],"quantitative":[32,62],"stability":[33],"properties":[34,66],"respect":[39],"tothe":[40],"parameter.":[42],"Under":[43],"suitable":[44],"regularity":[45],"assumptions,":[46],"prove":[48],"Lipschitz":[49],"continuity":[50],"ofthe":[51],"operator":[53],"families":[54],"in":[55],"Schatten":[56],"norms.":[57],"These":[58],"results":[59],"provide":[60],"a":[61],"refinementof":[63],"the":[64],"operator-theoretic":[65],"spaces.":[74]},"counts_by_year":[],"updated_date":"2026-10-08T09:06:37.294493","created_date":"2026-01-19T00:00:00"}
