{"id":"https://openalex.org/W4393342871","doi":"https://doi.org/10.31489/2024m1/73-83","title":"Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space","display_name":"Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space","publication_year":2024,"publication_date":"2024-03-29","ids":{"openalex":"https://openalex.org/W4393342871","doi":"https://doi.org/10.31489/2024m1/73-83"},"language":"en","primary_location":{"id":"doi:10.31489/2024m1/73-83","doi":"https://doi.org/10.31489/2024m1/73-83","is_oa":true,"landing_page_url":"http://dx.doi.org/10.31489/2024m1/73-83","pdf_url":"https://mts.buketov.edu.kz/mathematics-vestnik/article/download/685/589","source":{"id":"https://openalex.org/S4210170749","display_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","issn_l":"2518-7929","issn":["2518-7929","2663-5011"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/I2800164252","host_organization_name":"Karaganda Buketov University","host_organization_lineage":["https://openalex.org/I2800164252"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://mts.buketov.edu.kz/mathematics-vestnik/article/download/685/589","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063502797","display_name":"G.Sh. Iskakova","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2800164252","display_name":"Karaganda Buketov University","ror":"https://ror.org/00eq8hh49","country_code":"KZ","type":"education","lineage":["https://openalex.org/I2800164252"]},{"id":"https://openalex.org/I4210119320","display_name":"Private Institution \u201cKaraganda University of Kazpotrebsoyuz\u201d","ror":"https://ror.org/02cbftw37","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210119320"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"G.Sh. Iskakova","raw_affiliation_strings":["Karaganda Buketov University, Karaganda, Kazakhstan;","Karaganda University of Kazpotrebsoyuz, Karaganda, Kazakhstan;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Karaganda Buketov University, Karaganda, Kazakhstan;","institution_ids":["https://openalex.org/I2800164252"]},{"raw_affiliation_string":"Karaganda University of Kazpotrebsoyuz, Karaganda, Kazakhstan;","institution_ids":["https://openalex.org/I4210119320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020462504","display_name":"M.S. Aitenova","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M.S. Aitenova","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5094284863","display_name":"A.K. Sexenbayeva","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"A.K. Sexenbayeva","raw_affiliation_strings":["L.N. Gumilyov Eurasian National University, Astana, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L.N. Gumilyov Eurasian National University, Astana, Kazakhstan","institution_ids":["https://openalex.org/I10232997"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":20000,"currency":"KZT","value_usd":null},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"113","issue":"1","first_page":"73","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.5737000107765198,"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":0.5737000107765198,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.11100000143051147,"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":0.0794999971985817,"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/anisotropic-sobolev-spaces","display_name":"anisotropic Sobolev spaces","score":0.8119999766349792},{"id":"https://openalex.org/keywords/embedding-theorems","display_name":"embedding theorems","score":0.8939999938011169},{"id":"https://openalex.org/keywords/localization-method","display_name":"localization method","score":0.7300000190734863},{"id":"https://openalex.org/keywords/weight-functions","display_name":"weight functions","score":0.8349999785423279},{"id":"https://openalex.org/keywords/arbitrary-domains","display_name":"arbitrary domains","score":0.7239999771118164},{"id":"https://openalex.org/keywords/differential-operators","display_name":"differential operators","score":0.3880000114440918}],"concepts":[{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7694447040557861},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5985901951789856},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5566422343254089},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4285028874874115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41331180930137634},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3514927625656128},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.351471483707428},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3105408549308777},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29869988560676575},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.23804405331611633},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17270290851593018},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07767638564109802},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.31489/2024m1/73-83","doi":"https://doi.org/10.31489/2024m1/73-83","is_oa":true,"landing_page_url":"http://dx.doi.org/10.31489/2024m1/73-83","pdf_url":"https://mts.buketov.edu.kz/mathematics-vestnik/article/download/685/589","source":{"id":"https://openalex.org/S4210170749","display_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","issn_l":"2518-7929","issn":["2518-7929","2663-5011"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/I2800164252","host_organization_name":"Karaganda Buketov University","host_organization_lineage":["https://openalex.org/I2800164252"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4d3f2545b80d4bfbbefe212cf3d74147","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/4d3f2545b80d4bfbbefe212cf3d74147","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,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u049a\u0430\u0440\u0430\u0493\u0430\u043d\u0434\u044b \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0456\u043d\u0456\u04a3 \u0445\u0430\u0431\u0430\u0440\u0448\u044b\u0441\u044b. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0441\u0435\u0440\u0438\u044f\u0441\u044b, Vol 113, Iss 1 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.31489/2024m1/73-83","doi":"https://doi.org/10.31489/2024m1/73-83","is_oa":true,"landing_page_url":"http://dx.doi.org/10.31489/2024m1/73-83","pdf_url":"https://mts.buketov.edu.kz/mathematics-vestnik/article/download/685/589","source":{"id":"https://openalex.org/S4210170749","display_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","issn_l":"2518-7929","issn":["2518-7929","2663-5011"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/I2800164252","host_organization_name":"Karaganda Buketov University","host_organization_lineage":["https://openalex.org/I2800164252"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4393342871.pdf","grobid_xml":"https://content.openalex.org/works/W4393342871.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W2763401158","https://openalex.org/W2911560574","https://openalex.org/W2962814926","https://openalex.org/W3171783485","https://openalex.org/W3195855372","https://openalex.org/W3199056211","https://openalex.org/W4206645025","https://openalex.org/W4311696360","https://openalex.org/W4380906243","https://openalex.org/W4400782192"],"related_works":["https://openalex.org/W2921580976","https://openalex.org/W2131208745","https://openalex.org/W2985794117","https://openalex.org/W2567253462","https://openalex.org/W2980046572","https://openalex.org/W2276323875","https://openalex.org/W2031348032","https://openalex.org/W2031868413","https://openalex.org/W2314421390","https://openalex.org/W2627110708"],"abstract_inverted_index":{"Parameters":[0],"such":[1],"as":[2,17,19,97,99],"various":[3],"integral":[4],"and":[5,14,28,60,120],"differential":[6,93,132],"characteristics":[7,86],"of":[8,12,22,48,55,58,74,87,90,116,122],"functions,":[9],"smoothness":[10],"properties":[11],"regions":[13],"their":[15],"boundaries,":[16],"well":[18,98],"many":[20],"classes":[21],"weight":[23,100],"functions":[24],"cause":[25],"complex":[26],"relationships":[27],"embedding":[29,112],"conditions":[30],"for":[31,113],"multi-weighted":[32,75],"anisotropic":[33,76],"Sobolev":[34,77],"type":[35,78],"spaces.":[36],"The":[37,102],"desire":[38],"not":[39],"to":[40,45,109],"restrict":[41],"these":[42],"parameters":[43],"leads":[44],"the":[46,53,72,84,88,114],"development":[47],"new":[49],"approaches":[50],"based":[51],"on":[52,65],"introduction":[54],"alternative":[56],"definitions":[57],"spaces":[59,79],"norms":[61],"in":[62,82,129,131],"them":[63],"or":[64],"special":[66],"localization":[67,104],"methods.":[68],"This":[69],"article":[70],"examines":[71],"embeddings":[73],"with":[80],"anisotropy":[81],"all":[83],"defining":[85],"norm":[89],"space,":[91],"including":[92],"indices,":[94,96],"summability":[95],"coefficients.":[101],"applied":[103],"method":[105],"made":[106],"it":[107],"possible":[108],"obtain":[110],"an":[111,117],"case":[115],"arbitrary":[118],"domain":[119],"weights":[121],"a":[123],"general":[124],"type,":[125],"which":[126],"is":[127],"important":[128],"applications":[130],"operators\u2019":[133],"theory,":[134],"numerical":[135],"analysis.":[136]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-03-31T00:00:00"}
