{"id":"https://openalex.org/W2353545360","doi":null,"title":"Composition Operators from Spaces B~\u03b1 to B~0 and D","display_name":"Composition Operators from Spaces B~\u03b1 to B~0 and D","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2353545360","mag":"2353545360"},"language":"en","primary_location":{"id":"mag:2353545360","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-XZSX200603002.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764357242","display_name":"Journal of Xuzhou Normal University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4328135224","host_organization_name":"Jiangsu Normal University","host_organization_lineage":["https://openalex.org/P4328135224"],"host_organization_lineage_names":["Jiangsu Normal University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Xuzhou Normal University","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W2353545360"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5109835000","display_name":"Jian Han Guo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jian Han Guo","raw_affiliation_strings":["School of Mathematical Science,Xuzhou Normal University,Xuzhou,Jiangsu,221116,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science,Xuzhou Normal University,Xuzhou,Jiangsu,221116,China)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5109835000"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9901999831199646,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9901999831199646,"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":0.0015999999595806003,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.0008999999845400453,"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/composition-operators","display_name":"composition operators","score":0.9990000128746033},{"id":"https://openalex.org/keywords/boundedness","display_name":"boundedness","score":0.7620000243186951},{"id":"https://openalex.org/keywords/compactness","display_name":"compactness","score":0.9850000143051147},{"id":"https://openalex.org/keywords/spaces-of-analytic-functions","display_name":"analytic function spaces","score":0.7419999837875366},{"id":"https://openalex.org/keywords/unit-disk","display_name":"unit disk","score":0.7250000238418579},{"id":"https://openalex.org/keywords/dirichlet-space","display_name":"Dirichlet space","score":0.7540000081062317},{"id":"https://openalex.org/keywords/analytic-self-maps","display_name":"analytic self-maps","score":0.8360000252723694}],"concepts":[{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.7443541288375854},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.7219324111938477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6602293252944946},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6247888803482056},{"id":"https://openalex.org/C21513729","wikidata":"https://www.wikidata.org/wiki/Q5156798","display_name":"Composition operator","level":4,"score":0.6117836236953735},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.6116898655891418},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.522931694984436},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5120830535888672},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4286007583141327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3624013662338257},{"id":"https://openalex.org/C99392333","wikidata":"https://www.wikidata.org/wiki/Q5450385","display_name":"Finite-rank operator","level":3,"score":0.2917787730693817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.181177020072937},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2353545360","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-XZSX200603002.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764357242","display_name":"Journal of Xuzhou Normal University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4328135224","host_organization_name":"Jiangsu Normal University","host_organization_lineage":["https://openalex.org/P4328135224"],"host_organization_lineage_names":["Jiangsu Normal University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Xuzhou Normal University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2387424660","https://openalex.org/W2391849396","https://openalex.org/W2370969619","https://openalex.org/W2392469381","https://openalex.org/W3141740419","https://openalex.org/W2388144452","https://openalex.org/W2354786592","https://openalex.org/W2373874633","https://openalex.org/W2383934995","https://openalex.org/W4297969742"],"abstract_inverted_index":{"When":[0],"\u03c6":[1],"is":[2,14],"an":[3],"analytic":[4,19],"map":[5],"of":[6,18,36],"the":[7,23,37,41],"unit":[8],"disk":[9],"D":[10,47],"into":[11],"itself,and":[12],"X":[13],"a":[15],"Banach":[16],"space":[17],"functions":[20],"on":[21],"D,define":[22],"composition":[24,38],"operator":[25],"C_\u03c6":[26,28],"by":[27],"f=f\ue0c9\u03c6,for":[29],"f\u2208X.In":[30],"this":[31],"paper,the":[32],"boundedness":[33],"and":[34,46],"compactness":[35],"operators":[39],"from":[40],"spaces":[42],"B~\u03b1":[43],"to":[44],"B~0":[45],"are":[48],"discussed.":[49]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}