{"id":"https://openalex.org/W2963268317","doi":"https://doi.org/10.1307/mmj/1447878031","title":"Carleson measures and Teoplitz operators for weighted Bergman spaces on the unit ball","display_name":"Carleson measures and Teoplitz operators for weighted Bergman spaces on the unit ball","publication_year":2015,"publication_date":"2015-11-01","ids":{"openalex":"https://openalex.org/W2963268317","doi":"https://doi.org/10.1307/mmj/1447878031","mag":"2963268317"},"language":"en","primary_location":{"id":"doi:10.1307/mmj/1447878031","doi":"https://doi.org/10.1307/mmj/1447878031","is_oa":true,"landing_page_url":"https://doi.org/10.1307/mmj/1447878031","pdf_url":"https://projecteuclid.org/journals/michigan-mathematical-journal/volume-64/issue-4/Carleson-measures-and-Teoplitz-operators-for-weighted-Bergman-spaces-on/10.1307/mmj/1447878031.pdf","source":{"id":"https://openalex.org/S177543170","display_name":"The Michigan Mathematical Journal","issn_l":"0026-2285","issn":["0026-2285","1945-2365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Michigan Mathematical Journal","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/michigan-mathematical-journal/volume-64/issue-4/Carleson-measures-and-Teoplitz-operators-for-weighted-Bergman-spaces-on/10.1307/mmj/1447878031.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066734602","display_name":"Jordi Pau","orcid":"https://orcid.org/0000-0001-7450-8788","observed_orcids":["https://orcid.org/0000-0001-7450-8788"]},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jordi Pau","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada i Analisi Universitat de Barcelona 08007 Barcelona Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada i Analisi Universitat de Barcelona 08007 Barcelona Spain","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086492074","display_name":"Ruhan Zhao","orcid":"https://orcid.org/0000-0002-7485-0900","observed_orcids":["https://orcid.org/0000-0002-7485-0900"]},"institutions":[{"id":"https://openalex.org/I4864440","display_name":"SUNY Brockport","ror":"https://ror.org/0306aeb62","country_code":"US","type":"education","lineage":["https://openalex.org/I4864440"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ruhan Zhao","raw_affiliation_strings":["Department of Mathematics SUNY Brockport Brockport , NY 14420 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics SUNY Brockport Brockport , NY 14420 USA","institution_ids":["https://openalex.org/I4864440"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.188,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.81790105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"4","first_page":"759","last_page":"796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.0003000000142492354,"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":0.0,"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/carleson-measures","display_name":"Carleson measures","score":1.0},{"id":"https://openalex.org/keywords/weighted-bergman-spaces","display_name":"weighted Bergman spaces","score":0.9440000057220459},{"id":"https://openalex.org/keywords/unit-ball","display_name":"unit ball","score":0.9769999980926514},{"id":"https://openalex.org/keywords/toeplitz-operators","display_name":"Toeplitz operators","score":0.9940000176429749},{"id":"https://openalex.org/keywords/compact-operators","display_name":"compact operators","score":0.8220000267028809},{"id":"https://openalex.org/keywords/product-of-functions","display_name":"product of functions","score":0.7210000157356262},{"id":"https://openalex.org/keywords/unit-disk","display_name":"unit disk","score":0.7990000247955322}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8518275618553162},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.676763653755188},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5434548854827881},{"id":"https://openalex.org/C107264478","wikidata":"https://www.wikidata.org/wiki/Q3058183","display_name":"Bergman space","level":3,"score":0.5157471299171448},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4526776969432831},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42850548028945923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27974700927734375},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.09516355395317078},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.03663736581802368}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1307/mmj/1447878031","doi":"https://doi.org/10.1307/mmj/1447878031","is_oa":true,"landing_page_url":"https://doi.org/10.1307/mmj/1447878031","pdf_url":"https://projecteuclid.org/journals/michigan-mathematical-journal/volume-64/issue-4/Carleson-measures-and-Teoplitz-operators-for-weighted-Bergman-spaces-on/10.1307/mmj/1447878031.pdf","source":{"id":"https://openalex.org/S177543170","display_name":"The Michigan Mathematical Journal","issn_l":"0026-2285","issn":["0026-2285","1945-2365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Michigan Mathematical Journal","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.mmj/1447878031","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.mmj/1447878031","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1307/mmj/1447878031","doi":"https://doi.org/10.1307/mmj/1447878031","is_oa":true,"landing_page_url":"https://doi.org/10.1307/mmj/1447878031","pdf_url":"https://projecteuclid.org/journals/michigan-mathematical-journal/volume-64/issue-4/Carleson-measures-and-Teoplitz-operators-for-weighted-Bergman-spaces-on/10.1307/mmj/1447878031.pdf","source":{"id":"https://openalex.org/S177543170","display_name":"The Michigan Mathematical Journal","issn_l":"0026-2285","issn":["0026-2285","1945-2365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Michigan Mathematical Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3497542740","display_name":null,"funder_award_id":"MTM2014- 51834-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5862994712","display_name":null,"funder_award_id":"MTM2011-27932-C02-01","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G896341941","display_name":null,"funder_award_id":"2014-SGR-289","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"}],"funders":[{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323428","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963268317.pdf","grobid_xml":"https://content.openalex.org/works/W2963268317.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W43701722","https://openalex.org/W86492130","https://openalex.org/W100762214","https://openalex.org/W642255553","https://openalex.org/W1509154951","https://openalex.org/W1517932056","https://openalex.org/W1551756560","https://openalex.org/W1559581333","https://openalex.org/W1969510207","https://openalex.org/W1970629427","https://openalex.org/W1987712122","https://openalex.org/W1993557379","https://openalex.org/W2024256771","https://openalex.org/W2032941762","https://openalex.org/W2041231782","https://openalex.org/W2056484558","https://openalex.org/W2067142668","https://openalex.org/W2083592697","https://openalex.org/W2090353347","https://openalex.org/W2143690540","https://openalex.org/W2155473258","https://openalex.org/W2282375482","https://openalex.org/W2320420925","https://openalex.org/W2349697008","https://openalex.org/W4212928695","https://openalex.org/W4252619077"],"related_works":["https://openalex.org/W7008470810","https://openalex.org/W3095110675","https://openalex.org/W3192182952","https://openalex.org/W2360496991","https://openalex.org/W4386807717","https://openalex.org/W4225096513","https://openalex.org/W2006144457","https://openalex.org/W4401922630","https://openalex.org/W4396913881","https://openalex.org/W4417100923"],"abstract_inverted_index":{"We":[0],"obtain":[1],"some":[2],"new":[3,49],"characterizations":[4],"on":[5,12],"Carleson":[6],"measures":[7],"for":[8],"weighted":[9,29],"Bergman":[10,30],"spaces":[11],"the":[13,52,55],"unit":[14,56],"ball":[15],"involving":[16],"product":[17],"of":[18,54],"functions.For":[19],"these,":[20],"we":[21],"characterize":[22,36],"bounded":[23,37],"and":[24,38,43],"compact":[25,39],"Toeplitz":[26],"operators":[27,42],"between":[28],"spaces.The":[31],"results":[32,47],"are":[33,48],"applied":[34],"to":[35],"extended":[40],"Ces\u00e0ro":[41],"pointwise":[44],"multiplication":[45],"operators.The":[46],"even":[50],"in":[51],"case":[53],"disk.":[57]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-07-30T00:00:00"}
