{"id":"https://openalex.org/W7166387407","doi":"https://doi.org/10.17654/0972087126146","title":"ATOMIC DECOMPOSITION OF HARDY-AMALGAM SPACES WITH VARIABLE EXPONENTS","display_name":"ATOMIC DECOMPOSITION OF HARDY-AMALGAM SPACES WITH VARIABLE EXPONENTS","publication_year":2026,"publication_date":"2026-06-27","ids":{"openalex":"https://openalex.org/W7166387407","doi":"https://doi.org/10.17654/0972087126146"},"language":"en","primary_location":{"id":"doi:10.17654/0972087126146","doi":"https://doi.org/10.17654/0972087126146","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0972087126146","pdf_url":"https://pphmjopenaccess.com/fejms/article/download/4668/3325","source":{"id":"https://openalex.org/S2764809114","display_name":"Far East Journal of Mathematical Sciences (FJMS)","issn_l":"0972-0871","issn":["0972-0871","2584-1246"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific"],"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":"Far East Journal of Mathematical Sciences (FJMS)","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://pphmjopenaccess.com/fejms/article/download/4668/3325","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013435056","display_name":"Cihan \u00dcnal","orcid":"https://orcid.org/0000-0002-7242-393X","observed_orcids":["https://orcid.org/0000-0002-7242-393X"]},"institutions":[{"id":"https://openalex.org/I4210126051","display_name":"Universit\u00e9 Pelefero Gon Coulibaly","ror":"https://ror.org/0358nsq19","country_code":"CI","type":"education","lineage":["https://openalex.org/I4210126051"]}],"countries":["CI"],"is_corresponding":false,"raw_author_name":"Cihan Unal","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques-Physique-Chimie UFR des Sciences Biologiques Universit\u00e9 Peleforo GON COULIBALY BP 1328 Korhogo , R\u00e9publique de C\u00f4te 'Ivoire"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques-Physique-Chimie UFR des Sciences Biologiques Universit\u00e9 Peleforo GON COULIBALY BP 1328 Korhogo , R\u00e9publique de C\u00f4te 'Ivoire","institution_ids":["https://openalex.org/I4210126051"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004442114","display_name":"TRAORE Lassane","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210126051","display_name":"Universit\u00e9 Pelefero Gon Coulibaly","ror":"https://ror.org/0358nsq19","country_code":"CI","type":"education","lineage":["https://openalex.org/I4210126051"]},{"id":"https://openalex.org/I76257594","display_name":"Sinop University","ror":"https://ror.org/004ah3r71","country_code":"TR","type":"education","lineage":["https://openalex.org/I76257594"]}],"countries":["CI","TR"],"is_corresponding":false,"raw_author_name":"Lassane Traore","raw_affiliation_strings":["Department of Mathematics Faculty of Science and Arts Sinop University Sinop 57000 , T\u00fcrkiye","D\u00e9partement de Math\u00e9matiques-Physique-Chimie UFR des Sciences Biologiques Universit\u00e9 Peleforo GON COULIBALY BP 1328 Korhogo , R\u00e9publique de C\u00f4te 'Ivoire"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Faculty of Science and Arts Sinop University Sinop 57000 , T\u00fcrkiye","institution_ids":["https://openalex.org/I76257594"]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques-Physique-Chimie UFR des Sciences Biologiques Universit\u00e9 Peleforo GON COULIBALY BP 1328 Korhogo , R\u00e9publique de C\u00f4te 'Ivoire","institution_ids":["https://openalex.org/I4210126051"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.40832979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"143","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9916999936103821,"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":0.9916999936103821,"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":0.004399999976158142,"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":0.0003000000142492354,"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/variable-exponent","display_name":"variable exponent","score":0.8999999761581421},{"id":"https://openalex.org/keywords/atomic-decomposition","display_name":"atomic decomposition","score":0.9950000047683716},{"id":"https://openalex.org/keywords/atoms","display_name":"atoms","score":0.7390000224113464},{"id":"https://openalex.org/keywords/maximal-functions","display_name":"maximal operators","score":0.9610000252723694},{"id":"https://openalex.org/keywords/hyperplanes","display_name":"hyperplanes","score":0.9110000133514404},{"id":"https://openalex.org/keywords/hardy-operator","display_name":"Hardy operator","score":0.9399999976158142},{"id":"https://openalex.org/keywords/amalgam-spaces","display_name":"amalgam spaces","score":0.7110000252723694},{"id":"https://openalex.org/keywords/boundedness","display_name":"boundedness","score":0.5180000066757202}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7311999797821045},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6814000010490417},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.531499981880188},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5299000144004822},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4666999876499176},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4562999904155731},{"id":"https://openalex.org/C42178598","wikidata":"https://www.wikidata.org/wiki/Q1585233","display_name":"Hardy space","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4120999872684479},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.3774000108242035},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.33410000801086426},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32659998536109924},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.2578999996185303}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.17654/0972087126146","doi":"https://doi.org/10.17654/0972087126146","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0972087126146","pdf_url":"https://pphmjopenaccess.com/fejms/article/download/4668/3325","source":{"id":"https://openalex.org/S2764809114","display_name":"Far East Journal of Mathematical Sciences (FJMS)","issn_l":"0972-0871","issn":["0972-0871","2584-1246"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific"],"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":"Far East Journal of Mathematical Sciences (FJMS)","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.17654/0972087126146","doi":"https://doi.org/10.17654/0972087126146","is_oa":true,"landing_page_url":"https://doi.org/10.17654/0972087126146","pdf_url":"https://pphmjopenaccess.com/fejms/article/download/4668/3325","source":{"id":"https://openalex.org/S2764809114","display_name":"Far East Journal of Mathematical Sciences (FJMS)","issn_l":"0972-0871","issn":["0972-0871","2584-1246"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific"],"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":"Far East Journal of Mathematical Sciences (FJMS)","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/W7166387407.pdf","grobid_xml":"https://content.openalex.org/works/W7166387407.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W811794345","https://openalex.org/W979699793","https://openalex.org/W1970046135","https://openalex.org/W1974643313","https://openalex.org/W1975841085","https://openalex.org/W1984286619","https://openalex.org/W1992302446","https://openalex.org/W2004075869","https://openalex.org/W2011474167","https://openalex.org/W2013789957","https://openalex.org/W2051863132","https://openalex.org/W2081240344","https://openalex.org/W2083129101","https://openalex.org/W2086510139","https://openalex.org/W2098844942","https://openalex.org/W2768307523","https://openalex.org/W2799430129","https://openalex.org/W2963257547","https://openalex.org/W2963609035","https://openalex.org/W3107722324","https://openalex.org/W4297020678"],"related_works":["https://openalex.org/W1975841085","https://openalex.org/W2713574592","https://openalex.org/W1970046135","https://openalex.org/W1904496293","https://openalex.org/W2754106255","https://openalex.org/W1984286619","https://openalex.org/W3169845907","https://openalex.org/W2268121090","https://openalex.org/W2374525694","https://openalex.org/W2746559300"],"abstract_inverted_index":{"In":[0,52],"this":[1,53],"paper,":[2],"we":[3,55],"introduce":[4],"Hardy-amalgam":[5,72,106],"spaces":[6,107,113],"with":[7,45,108,114],"variable":[8,63,109,115],"exponents":[9,110],"$\\mathcal{H}^{p(\\cdot),":[10],"q}$":[11],"via":[12],"maximal":[13],"functions":[14],"and":[15,47,66],"consider":[16],"some":[17],"of":[18,31,59,95],"their":[19],"properties.":[20],"The":[21,88],"main":[22],"motivation":[23],"for":[24,43,50],"the":[25,57,62,75,80,85,93,96],"paper":[26,81],"is":[27,35,90,100],"an":[28],"atomic":[29,38],"decomposition":[30,39],"these":[32],"spaces.":[33,73],"It":[34],"known":[36],"that":[37],"gives":[40],"a":[41],"method":[42],"dealing":[44],"restriction":[46],"extension":[48],"phenomena":[49],"hyperplanes.":[51],"regard,":[54],"give":[56],"definition":[58],"atoms":[60],"in":[61,71,84,102],"exponent":[64],"sense":[65],"investigate":[67],"two":[68],"important":[69],"inequalities":[70],"Finally,":[74],"theoretical":[76],"ideas":[77],"introduced":[78],"throughout":[79],"are":[82],"applied":[83],"last":[86],"section.":[87],"application":[89],"based":[91],"on":[92],"boundedness":[94],"Hardy":[97],"operator,":[98],"which":[99],"useful":[101],"harmonic":[103],"analysis,":[104],"from":[105],"to":[111],"amalgam":[112],"exponents.":[116]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-06-28T00:00:00"}
