{"id":"https://openalex.org/W7160861478","doi":"https://doi.org/10.1016/j.aam.2026.103102","title":"The affine P\u00f3lya-Szeg\u00f6 principle for the singular and jump parts of functions of bounded variation","display_name":"The affine P\u00f3lya-Szeg\u00f6 principle for the singular and jump parts of functions of bounded variation","publication_year":2026,"publication_date":"2026-05-11","ids":{"openalex":"https://openalex.org/W7160861478","doi":"https://doi.org/10.1016/j.aam.2026.103102"},"language":"en","primary_location":{"id":"doi:10.1016/j.aam.2026.103102","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aam.2026.103102","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"},"type":"article","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/A5079712321","display_name":"Wan Li","orcid":null},"institutions":[{"id":"https://openalex.org/I7726996","display_name":"Henan University of Economic and Law","ror":"https://ror.org/000jtc944","country_code":"CN","type":"education","lineage":["https://openalex.org/I7726996"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wan Li","raw_affiliation_strings":["School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China","institution_ids":["https://openalex.org/I7726996"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080525671","display_name":"Jin Dai","orcid":"https://orcid.org/0000-0002-3492-0660"},"institutions":[{"id":"https://openalex.org/I50632499","display_name":"Chongqing University of Technology","ror":"https://ror.org/04vgbd477","country_code":"CN","type":"education","lineage":["https://openalex.org/I50632499"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jin Dai","raw_affiliation_strings":["School of Mathematical Sciences, Chongqing University of Technology, Chongqing, 400054, China"],"raw_orcid":"https://orcid.org/0000-0001-7320-5291","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Chongqing University of Technology, Chongqing, 400054, China","institution_ids":["https://openalex.org/I50632499"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080525671"],"corresponding_institution_ids":["https://openalex.org/I50632499"],"apc_list":{"value":2670,"currency":"USD","value_usd":2670},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.60291971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"179","issue":null,"first_page":"103102","last_page":"103102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5655999779701233,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.5655999779701233,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.09449999779462814,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.07970000058412552,"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-function","display_name":"Bounded function","score":0.7885000109672546},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.7746999859809875},{"id":"https://openalex.org/keywords/bounded-deformation","display_name":"Bounded deformation","score":0.7555000185966492},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7542999982833862},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.6660000085830688},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.415800005197525},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.3580000102519989}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9271000027656555},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7885000109672546},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.7746999859809875},{"id":"https://openalex.org/C92928283","wikidata":"https://www.wikidata.org/wiki/Q4949981","display_name":"Bounded deformation","level":4,"score":0.7555000185966492},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7542999982833862},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.6660000085830688},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48500001430511475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4505000114440918},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.415800005197525},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C2776825372","wikidata":"https://www.wikidata.org/wiki/Q3922411","display_name":"Jump process","level":3,"score":0.3052000105381012},{"id":"https://openalex.org/C126578732","wikidata":"https://www.wikidata.org/wiki/Q2374166","display_name":"Singular function","level":4,"score":0.3021000027656555},{"id":"https://openalex.org/C200917960","wikidata":"https://www.wikidata.org/wiki/Q3847057","display_name":"Singular point of a curve","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.2872999906539917},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27790001034736633},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.2770000100135803},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.2542000114917755}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.aam.2026.103102","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aam.2026.103102","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6090065836906433,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W125375219","https://openalex.org/W1514279412","https://openalex.org/W1547590784","https://openalex.org/W1559046372","https://openalex.org/W1964075765","https://openalex.org/W1965636448","https://openalex.org/W1967655309","https://openalex.org/W1967753432","https://openalex.org/W1969630708","https://openalex.org/W1969646564","https://openalex.org/W1973844857","https://openalex.org/W1987278905","https://openalex.org/W1993287523","https://openalex.org/W2011110843","https://openalex.org/W2012467876","https://openalex.org/W2019234094","https://openalex.org/W2028339223","https://openalex.org/W2028712970","https://openalex.org/W2035229548","https://openalex.org/W2058635385","https://openalex.org/W2063843306","https://openalex.org/W2065079207","https://openalex.org/W2071302489","https://openalex.org/W2074849352","https://openalex.org/W2078778597","https://openalex.org/W2087425625","https://openalex.org/W2112297948","https://openalex.org/W2119766991","https://openalex.org/W2133935288","https://openalex.org/W2137595244","https://openalex.org/W2142261554","https://openalex.org/W2146665815","https://openalex.org/W2148553975","https://openalex.org/W2171182163","https://openalex.org/W2275286668","https://openalex.org/W2288566595","https://openalex.org/W2384089235","https://openalex.org/W2751360425","https://openalex.org/W2927432016","https://openalex.org/W2962820492","https://openalex.org/W2963192433","https://openalex.org/W2963369447","https://openalex.org/W2975115190","https://openalex.org/W2978292477","https://openalex.org/W4322806659"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-05-13T06:04:23.736269","created_date":"2026-05-12T00:00:00"}