{"id":"https://openalex.org/W7214784117","doi":"https://doi.org/10.48550/arxiv.2609.34760","title":"A short note about the spaces $BV^s(\\R^n)$","display_name":"A short note about the spaces $BV^s(\\R^n)$","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7214784117","doi":"https://doi.org/10.48550/arxiv.2609.34760"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.34760","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34760","pdf_url":"https://arxiv.org/pdf/2609.34760","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/2609.34760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120348249","display_name":"Guillermo Garc\u00eda-S\u00e1ez","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I79189158","display_name":"University of Castilla-La Mancha","ror":"https://ror.org/05r78ng12","country_code":"ES","type":"education","lineage":["https://openalex.org/I79189158"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Garc\u00eda-S\u00e1ez, Guillermo","raw_affiliation_strings":["ETSII , Departamento de Matem\u00e1ticas Universidad de Castilla-La Mancha Campus Universitario s /n , 13071 Ciudad Real , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETSII , Departamento de Matem\u00e1ticas Universidad de Castilla-La Mancha Campus Universitario s /n , 13071 Ciudad Real , Spain","institution_ids":["https://openalex.org/I79189158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5120348249"],"corresponding_institution_ids":["https://openalex.org/I79189158"],"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.33719998598098755,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.33719998598098755,"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":0.2856000065803528,"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":0.1151999980211258,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/complex-interpolation","display_name":"complex interpolation","score":0.8169999718666077},{"id":"https://openalex.org/keywords/interpolation-spaces","display_name":"interpolation spaces","score":0.7749999761581421}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5590000152587891},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.46309998631477356},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.38760000467300415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3278999924659729},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3102000057697296},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C6183050","wikidata":"https://www.wikidata.org/wiki/Q3058180","display_name":"Interpolation space","level":4,"score":0.25929999351501465},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25609999895095825},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2554999887943268},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.23919999599456787}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.34760","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34760","pdf_url":"https://arxiv.org/pdf/2609.34760","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.2609.34760","doi":"https://doi.org/10.48550/arxiv.2609.34760","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.34760","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:2609.34760","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.34760","pdf_url":"https://arxiv.org/pdf/2609.34760","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":[{"id":"https://openalex.org/G1390028821","display_name":null,"funder_award_id":"2024\u2010UNIVERS\u201012844","funder_id":"https://openalex.org/F4320324466","funder_display_name":"Universidad de Castilla-La Mancha"},{"id":"https://openalex.org/G2851251822","display_name":null,"funder_award_id":"2024-UNIVERS-12844-404","funder_id":"https://openalex.org/F4320324466","funder_display_name":"Universidad de Castilla-La Mancha"},{"id":"https://openalex.org/G6048790067","display_name":null,"funder_award_id":"PID2023-151823NB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320324466","display_name":"Universidad de Castilla-La Mancha","ror":"https://ror.org/05r78ng12"},{"id":"https://openalex.org/F4320327216","display_name":"Junta de Comunidades de Castilla-La Mancha","ror":"https://ror.org/02jv91m18"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214784117.pdf","grobid_xml":"https://content.openalex.org/works/W7214784117.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W4416167588","https://openalex.org/W4417291549","https://openalex.org/W6948176718","https://openalex.org/W7165011034"],"related_works":["https://openalex.org/W4394641238","https://openalex.org/W2286038381","https://openalex.org/W2007822226","https://openalex.org/W2334158355","https://openalex.org/W2019916929","https://openalex.org/W3088474791","https://openalex.org/W2056767441","https://openalex.org/W2137645795","https://openalex.org/W4229852477","https://openalex.org/W773008579"],"abstract_inverted_index":{"In":[0],"this":[1],"short":[2],"communication":[3],"we":[4],"answer":[5],"negatively":[6],"to":[7],"a":[8],"question":[9],"posed":[10],"by":[11,29],"the":[12,20,25],"authors":[13],"in":[14,35],"their":[15],"work":[16],"\\cite[Section":[17],"1.4]{Brue2022}":[18],"about":[19],"complex":[21],"interpolation":[22],"nature":[23],"of":[24],"spaces":[26],"$BV^{s}(\\R^n)$,":[27],"introduced":[28],"G.E.":[30],"Comi":[31],"and":[32],"G.":[33],"Stefani":[34],"\\cite{ComiStefani2019}.":[36]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-30T00:00:00"}