{"id":"https://openalex.org/W7117530789","doi":"https://doi.org/10.3934/nhm.2025064","title":"Weighted Morrey space boundedness for H\u00f6rmander-type singular integrals","display_name":"Weighted Morrey space boundedness for H\u00f6rmander-type singular integrals","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7117530789","doi":"https://doi.org/10.3934/nhm.2025064"},"language":"en","primary_location":{"id":"doi:10.3934/nhm.2025064","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2025064","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/nhm.2025064","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121574897","display_name":"Kejun Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kejun Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121519980","display_name":"Shaoguang Shi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shaoguang Shi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5122787873","display_name":"Guanglan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanglan Wang","raw_affiliation_strings":["Department of Mathematics, Linyi University, Linyi 276005, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Linyi University, Linyi 276005, P. R. China","institution_ids":["https://openalex.org/I15823474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72108601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"5","first_page":"1509","last_page":"1523"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9828000068664551,"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":0.9828000068664551,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.00419999985024333,"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":0.002400000113993883,"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/singular-integral-operators","display_name":"Singular integral operators","score":0.8289999961853027},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7372999787330627},{"id":"https://openalex.org/keywords/bounded-mean-oscillation","display_name":"Bounded mean oscillation","score":0.6841999888420105},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.6341999769210815},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5501999855041504},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5230000019073486},{"id":"https://openalex.org/keywords/weight-function","display_name":"Weight function","score":0.44200000166893005},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.43970000743865967}],"concepts":[{"id":"https://openalex.org/C2992640183","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral operators","level":4,"score":0.8289999961853027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7924000024795532},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7372999787330627},{"id":"https://openalex.org/C39269415","wikidata":"https://www.wikidata.org/wiki/Q796341","display_name":"Bounded mean oscillation","level":3,"score":0.6841999888420105},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.6341999769210815},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5501999855041504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5299000144004822},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5230000019073486},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.44200000166893005},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.43970000743865967},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.3991999924182892},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3952000141143799},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.35569998621940613},{"id":"https://openalex.org/C68386474","wikidata":"https://www.wikidata.org/wiki/Q980557","display_name":"Operator norm","level":3,"score":0.34389999508857727},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.31619998812675476},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.30649998784065247},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.30239999294281006},{"id":"https://openalex.org/C3018319951","wikidata":"https://www.wikidata.org/wiki/Q6795639","display_name":"Maximal operator","level":3,"score":0.295199990272522},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3934/nhm.2025064","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2025064","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:da73a8c1b1a64556be402d1e728d5557","is_oa":false,"landing_page_url":"https://doaj.org/article/da73a8c1b1a64556be402d1e728d5557","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Networks and Heterogeneous Media, Vol 20, Iss 5, Pp 1509-1523 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3934/nhm.2025064","is_oa":true,"landing_page_url":"https://doi.org/10.3934/nhm.2025064","pdf_url":null,"source":{"id":"https://openalex.org/S21752972","display_name":"Networks and Heterogeneous Media","issn_l":"1556-1801","issn":["1556-1801","1556-181X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks and Heterogeneous Media","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W599653970","https://openalex.org/W1526067066","https://openalex.org/W1995562935","https://openalex.org/W2006184875","https://openalex.org/W2017550191","https://openalex.org/W2017877985","https://openalex.org/W2027641901","https://openalex.org/W2037247765","https://openalex.org/W2039957187","https://openalex.org/W2042676561","https://openalex.org/W2075842064","https://openalex.org/W2080804793","https://openalex.org/W2088463128","https://openalex.org/W2119372119","https://openalex.org/W2164805046","https://openalex.org/W2313971971","https://openalex.org/W2324387085","https://openalex.org/W2749155585","https://openalex.org/W2983796166","https://openalex.org/W3021650340","https://openalex.org/W3030602949","https://openalex.org/W3048019265","https://openalex.org/W3128858137","https://openalex.org/W3141630708","https://openalex.org/W3148327927","https://openalex.org/W4241668158","https://openalex.org/W4288242651","https://openalex.org/W4318200189","https://openalex.org/W4321783880","https://openalex.org/W4389320330","https://openalex.org/W4406216035"],"related_works":[],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,25,32,45],"boundedness":[3],"properties":[4],"of":[5,27],"singular":[6],"integral":[7],"operators":[8,41],"characterized":[9],"by":[10,39],"$":[11,17],"L^{r}":[12],"$-H\u00f6rmander":[13],"kernel":[14],"conditions":[15],"(for":[16],"1":[18],"<":[19,21],"r":[20],"\\infty":[22],"$)":[23],"within":[24],"framework":[26],"weighted":[28],"Morrey":[29],"spaces.":[30],"Additionally,":[31],"analysis":[33],"is":[34],"extended":[35],"to":[36],"commutators":[37],"generated":[38],"these":[40],"and":[42,58],"functions":[43],"in":[44],"Bounded":[46],"Mean":[47],"Oscillation":[48],"(BMO)":[49],"classes,":[50],"establishing":[51],"corresponding":[52],"norm":[53],"estimates":[54],"under":[55],"comparable":[56],"geometric":[57],"weight":[59],"hypotheses.":[60]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-12-30T00:00:00"}