{"id":"https://openalex.org/W4214705133","doi":"https://doi.org/10.17654/0975291922002","title":"A SUFFICIENT CONDITION FOR AN OPERATOR TO MAP uL\u221e TO BMOu","display_name":"A SUFFICIENT CONDITION FOR AN OPERATOR TO MAP uL\u221e TO BMOu","publication_year":2022,"publication_date":"2022-03-01","ids":{"openalex":"https://openalex.org/W4214705133","doi":"https://doi.org/10.17654/0975291922002","mag":"3004872728"},"language":"en","primary_location":{"id":"doi:10.17654/0975291922002","doi":"https://doi.org/10.17654/0975291922002","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0975291922002","pdf_url":null,"source":{"id":"https://openalex.org/S4210196904","display_name":"International Journal of Functional Analysis Operator Theory and Applications","issn_l":"0975-2919","issn":["0975-2919"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4362561667","host_organization_name":"Pushpa Publishing House","host_organization_lineage":["https://openalex.org/P4362561667"],"host_organization_lineage_names":["Pushpa Publishing House"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Functional Analysis, Operator Theory and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.17654/0975291922002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072753415","display_name":"Sakin Demir","orcid":"https://orcid.org/0000-0002-8019-6917","observed_orcids":["https://orcid.org/0000-0002-8019-6917"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sakin Demir","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5072753415"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03182405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":null,"first_page":"13","last_page":"17"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9984999895095825,"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":0.9984999895095825,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.00039999998989515007,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.00019999999494757503,"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/bounded-mean-oscillation","display_name":"bounded mean oscillation","score":0.847000002861023},{"id":"https://openalex.org/keywords/singular-integral-operators","display_name":"singular integral operators","score":0.5709999799728394},{"id":"https://openalex.org/keywords/sufficient-conditions","display_name":"sufficient conditions","score":0.4650000035762787}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6214697957038879},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39802616834640503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3610265552997589},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10052371025085449},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.056253910064697266},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.17654/0975291922002","doi":"https://doi.org/10.17654/0975291922002","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0975291922002","pdf_url":null,"source":{"id":"https://openalex.org/S4210196904","display_name":"International Journal of Functional Analysis Operator Theory and Applications","issn_l":"0975-2919","issn":["0975-2919"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4362561667","host_organization_name":"Pushpa Publishing House","host_organization_lineage":["https://openalex.org/P4362561667"],"host_organization_lineage_names":["Pushpa Publishing House"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Functional Analysis, Operator Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.01430","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.01430","pdf_url":"https://arxiv.org/pdf/2002.01430","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":"mag:3004872728","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2002.01430.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2002.01430","doi":"https://doi.org/10.48550/arxiv.2002.01430","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.01430","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":"article-journal"}],"best_oa_location":{"id":"doi:10.17654/0975291922002","doi":"https://doi.org/10.17654/0975291922002","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0975291922002","pdf_url":null,"source":{"id":"https://openalex.org/S4210196904","display_name":"International Journal of Functional Analysis Operator Theory and Applications","issn_l":"0975-2919","issn":["0975-2919"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4362561667","host_organization_name":"Pushpa Publishing House","host_organization_lineage":["https://openalex.org/P4362561667"],"host_organization_lineage_names":["Pushpa Publishing House"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Functional Analysis, Operator Theory and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4214705133.pdf","grobid_xml":"https://content.openalex.org/works/W4214705133.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3004872728","https://openalex.org/W3032924524","https://openalex.org/W4236048573","https://openalex.org/W3147990213","https://openalex.org/W3201672950","https://openalex.org/W2322810700","https://openalex.org/W2041101279","https://openalex.org/W873454336","https://openalex.org/W2186717394","https://openalex.org/W2271146865"],"abstract_inverted_index":{"Let":[0],"$T$":[1,43],"be":[2],"an":[3],"operator":[4],"and":[5,29,36],"suppose":[6],"that":[7,15,42],"there":[8],"exists":[9],"a":[10],"positive":[11],"constant":[12],"$C$":[13],"such":[14],"$$\\left(\\int_I|Tf(x)|^q\\,":[16],"dx\\right)^{1/q}\\leq":[17],"C\\left(\\int_I|f(x)|^q\\,":[18],"dx\\right)^{1/q}$$":[19],"for":[20,30],"every":[21,31],"$q$":[22],"which":[23],"is":[24],"near":[25],"enough":[26],"to":[27,46],"$1$":[28],"interval":[32],"$I$":[33],"in":[34],"$\\mathbb{R}$":[35],"$f\\in":[37],"L^{\\infty}(\\mathbb{R})$.":[38],"Then":[39],"we":[40],"show":[41],"maps":[44],"$uL^{\\infty}$":[45],"${\\rm{BMO}}_u$.":[47]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2022-03-02T00:00:00"}