THE BOUNDEDNESS OF TOEPLITZ-TYPE OPERATORS ON VANISHING-MORREY SPACES
In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.
Saved in:
| Published in | Analysis in theory & applications Vol. 27; no. 4; pp. 309 - 319 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Editorial Board of Analysis in Theory and Applications
01.12.2011
Jiangxi Normal UniversityNanchang, 330022P. R. China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1672-4070 1573-8175 |
| DOI | 10.1007/s10496-011-0309-y |
Cover
| Abstract | In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space. |
|---|---|
| AbstractList | In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space. O177; In this note,we prove that the Toeplitz-type Operator (I)bα generated by the generalized fractional integral,Calderón-Zygmund operator and VMO funtion is bounded from Lp,λ (Rn) to Lq,μ (Rn).We also show that under some conditions (I)bαf ∈ VLq,μ (BR),the vanishing-Morrey space. In this note, we prove that the Toeplitz-type Operator Θ α b generated by the generalized fractional integral, Calderón-Zygmund operator and VMO funtion is bounded from L p,λ ( R n ) to L q ,µ ( R n ). We also show that under some conditions Θ α b f ∈ VL q , µ ( B R ), the vanishing-Morrey space. |
| Author | Xiaoniu Cao Dongxiang Chen |
| AuthorAffiliation | Jiangxi Normal University, China |
| AuthorAffiliation_xml | – name: Jiangxi Normal UniversityNanchang, 330022P. R. China |
| Author_xml | – sequence: 1 givenname: Xiaoniu surname: Cao fullname: Cao, Xiaoniu email: caoxiaoniu353@yahoo.com.cn organization: Jiangxi Normal University, College of Mathematics and Informatics, Jiangxi Normal University – sequence: 2 givenname: Dongxiang surname: Chen fullname: Chen, Dongxiang organization: Jiangxi Normal University, College of Mathematics and Informatics, Jiangxi Normal University |
| BookMark | eNp9kE9Lw0AQxRdR8O8H8BavwurM7ia7Oda62kJNShMFvSzbdFNTaqJJRfLtXakoePA0A_N-8x7vkOzWTe0IOUW4QAB52SGIOKKASIFDTPsdcoCh5FShDHf9HklGBUjYJyddV80hRB5JocIDovORDq7S--RaXyc6y4L0JshTPZ2M8yeaP051kE71bJCnM39KgodBMs5G4-SW3qWzmX4MsulgqLNjslfadedOvucRub_R-XBEJ-nteDiY0IJFglFnmZKKIYsVIi4Wai7LAgUoW7q4lAXwGCLpSuFQOWuZKy2KhYiYWzBlpeVH5Hz798PWpa2XZtW8t7V3NPPVevXW98Yx3wIIAObFuBUXbdN1rSvNa1u92LY3COarN7PtzXjCfPVmes_IP0xRbeymaupNa6v1vyTbkp13qZeu_c32H3T2bffc1Ms3z_1kFMBlGHHOPwGem4j3 |
| CitedBy_id | crossref_primary_10_32513_tbilisi_1585015221 crossref_primary_10_1186_s13661_018_1002_2 crossref_primary_10_1186_1029_242X_2013_411 crossref_primary_10_32513_tbilisi_1538532032 |
| Cites_doi | 10.1090/S0002-9939-04-07437-4 10.1007/s10898-007-9176-7 10.1512/iumj.1982.31.31002 10.1090/cbms/077 |
| ClassificationCodes | O177 |
| ContentType | Journal Article |
| Copyright | Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011 – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.1007/s10496-011-0309-y |
| DatabaseName | 中文科技期刊数据库 中文科技期刊数据库-CALIS站点 中文科技期刊数据库-7.0平台 中文科技期刊数据库- 镜像站点 CrossRef Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| DocumentTitleAlternate | THE BOUNDEDNESS OF TOEPLITZ-TYPE OPERATORS ON VANISHING-MORREY SPACES |
| EISSN | 1573-8175 |
| EndPage | 319 |
| ExternalDocumentID | bjljqyy_e201104002 10_1007_s10496_011_0309_y 40375633 |
| GrantInformation_xml | – fundername: Supported by NNS F(10961015; 10871173); the NSF of Jiangxi province; the growth foundation of Jxnu; the NSF of teaching derision of Jiangxi province funderid: Supported by NNS F(10961015; 10871173); (2008GZS0051); (2714); (GJJ 10397) |
| GroupedDBID | -01 -0A -SA -S~ -Y2 .86 188 23M 2B. 2C. 2RA 2VQ 4.4 5GY 5VR 5VS 5XA 5XB 5XL 6NX 875 8RM 8TC 92E 92I 92L 92M 92Q 93N 9D9 9DA ABMNI ABTEG ACBXY ACOMO ADINQ AEGNC AFGCZ AFUIB AHBYD ALMA_UNASSIGNED_HOLDINGS AMKLP BA0 BGNMA CAG CAJEA CAJUS CCEZO CCVFK CHBEP COF CQIGP CS3 CSCUP CW9 DL5 EBS EJD FA0 HF~ HG6 HZ~ I09 IHE I~X JUIAU KDC KOV LAS M4Y NU0 P09 Q-- Q-0 QOS R-A R9I ROL RPX RT1 S.. S1Z S27 SDH SMT SOJ T13 T8Q TCJ TGP TSK U1F U1G U2A U5A U5K UZ4 VC2 WK8 ~L9 ~WA 0R~ AAYZH H13 AAYXX ABFSG CITATION 4A8 PSX |
| ID | FETCH-LOGICAL-c2642-ea287821298111dd8b7fc1408afe9f7c039067ef4e18eaa2efa14d462ed28a7a3 |
| IEDL.DBID | U2A |
| ISSN | 1672-4070 |
| IngestDate | Thu May 29 03:59:36 EDT 2025 Tue Jul 01 00:41:58 EDT 2025 Thu Apr 24 23:02:45 EDT 2025 Wed Apr 23 02:06:01 EDT 2025 Wed Feb 14 10:25:30 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | vanishing-Morrey space generalized fractional integral 42B25 42B30 Toeplitz-type operator |
| Language | English |
| License | http://www.springer.com/tdm |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2642-ea287821298111dd8b7fc1408afe9f7c039067ef4e18eaa2efa14d462ed28a7a3 |
| Notes | 32-1631/O1 Toeplitz-type operator, generalized fractional integral, vanishing-Morreyspace In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space. |
| PageCount | 11 |
| ParticipantIDs | wanfang_journals_bjljqyy_e201104002 crossref_primary_10_1007_s10496_011_0309_y crossref_citationtrail_10_1007_s10496_011_0309_y springer_journals_10_1007_s10496_011_0309_y chongqing_primary_40375633 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20111200 |
| PublicationDateYYYYMMDD | 2011-12-01 |
| PublicationDate_xml | – month: 12 year: 2011 text: 20111200 |
| PublicationDecade | 2010 |
| PublicationPlace | Heidelberg |
| PublicationPlace_xml | – name: Heidelberg |
| PublicationTitle | Analysis in theory & applications |
| PublicationTitleAbbrev | Anal. Theory Appl |
| PublicationTitleAlternate | Analysis in Theory and Applications |
| PublicationTitle_FL | Analysis in Theory and Applications |
| PublicationYear | 2011 |
| Publisher | Editorial Board of Analysis in Theory and Applications Jiangxi Normal UniversityNanchang, 330022P. R. China |
| Publisher_xml | – name: Editorial Board of Analysis in Theory and Applications – name: Jiangxi Normal UniversityNanchang, 330022P. R. China |
| References | MoH. X.LuS. Z.Boundedness of Multilinear Commutators of Generalized Fractional IntegralsMath. Nachr.200892811328134010.1002/mana.2005106812442709 ZhouM. Q.Harmonic Analysis2003BeijingBeijing University Press ChanilloS.A Note on CommutatorsIndiana Univ.Math.J.19824471610.1512/iumj.1982.31.31002642611 ChiarenzaF.FrascaM.LongoP.Interior W2,p Estimates for Nondivergence Elliptic Equations with Discontinuous CoefficientsRicerche di Matematica199140491681191890 SteinE. M.Singular Integrals and Differentiability Properties of Functions1970Princeton N.J.Princeton University Press0207.13501 Garcia-Cuerva, J., Rubio de Francia J L. Weighted Norm Inequalities and Related Topics, Norm-Holland Math. Stud., 1985, 116, Amsterdam. Christ, M., Lectures on Singular Integral Operator, CBMS Regional Conference Series in Mathematics, 1990, 77. RagusaM. A.Commutators of Fraction Integral Operators on Vanishing-Morrey SpacesJ Glob Optim20084036136810.1007/s10898-007-9176-71143.420202373563 DuongX. T.YanL. X.On Commutators of Fractional IntegralProc. Amer. Math.Soc.20041323549355710.1090/S0002-9939-04-07437-41046.420052084076 X. T. Duong (309_CR3) 2004; 132 E. M. Stein (309_CR1) 1970 309_CR8 S. Chanillo (309_CR2) 1982; 44 M. Q. Zhou (309_CR6) 2003 F. Chiarenza (309_CR9) 1991; 40 309_CR4 H. X. Mo (309_CR5) 2008; 9 M. A. Ragusa (309_CR7) 2008; 40 |
| References_xml | – reference: ChiarenzaF.FrascaM.LongoP.Interior W2,p Estimates for Nondivergence Elliptic Equations with Discontinuous CoefficientsRicerche di Matematica199140491681191890 – reference: ChanilloS.A Note on CommutatorsIndiana Univ.Math.J.19824471610.1512/iumj.1982.31.31002642611 – reference: ZhouM. Q.Harmonic Analysis2003BeijingBeijing University Press – reference: SteinE. M.Singular Integrals and Differentiability Properties of Functions1970Princeton N.J.Princeton University Press0207.13501 – reference: MoH. X.LuS. Z.Boundedness of Multilinear Commutators of Generalized Fractional IntegralsMath. Nachr.200892811328134010.1002/mana.2005106812442709 – reference: DuongX. T.YanL. X.On Commutators of Fractional IntegralProc. Amer. Math.Soc.20041323549355710.1090/S0002-9939-04-07437-41046.420052084076 – reference: Christ, M., Lectures on Singular Integral Operator, CBMS Regional Conference Series in Mathematics, 1990, 77. – reference: RagusaM. A.Commutators of Fraction Integral Operators on Vanishing-Morrey SpacesJ Glob Optim20084036136810.1007/s10898-007-9176-71143.420202373563 – reference: Garcia-Cuerva, J., Rubio de Francia J L. Weighted Norm Inequalities and Related Topics, Norm-Holland Math. Stud., 1985, 116, Amsterdam. – volume-title: Singular Integrals and Differentiability Properties of Functions year: 1970 ident: 309_CR1 – volume: 132 start-page: 3549 year: 2004 ident: 309_CR3 publication-title: Proc. Amer. Math.Soc. doi: 10.1090/S0002-9939-04-07437-4 – volume: 9 start-page: 1328 issue: 281 year: 2008 ident: 309_CR5 publication-title: Math. Nachr. – volume-title: Harmonic Analysis year: 2003 ident: 309_CR6 – volume: 40 start-page: 361 year: 2008 ident: 309_CR7 publication-title: J Glob Optim doi: 10.1007/s10898-007-9176-7 – volume: 44 start-page: 7 year: 1982 ident: 309_CR2 publication-title: Indiana Univ.Math.J. doi: 10.1512/iumj.1982.31.31002 – volume: 40 start-page: 49 year: 1991 ident: 309_CR9 publication-title: Ricerche di Matematica – ident: 309_CR4 doi: 10.1090/cbms/077 – ident: 309_CR8 |
| SSID | ssib051367485 ssib018829759 ssib022561100 ssib017476655 ssib006703628 ssj0055693 ssib006797194 |
| Score | 1.8377283 |
| Snippet | In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is... In this note, we prove that the Toeplitz-type Operator Θ α b generated by the generalized fractional integral, Calderón-Zygmund operator and VMO funtion is... O177; In this note,we prove that the Toeplitz-type Operator (I)bα generated by the generalized fractional integral,Calderón-Zygmund operator and VMO funtion is... |
| SourceID | wanfang crossref springer chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 309 |
| SubjectTerms | Analysis Approximations and Expansions d算子 Mathematics Mathematics and Statistics Morrey空间 Toeplitz型算子 分数次积分 有界性 注册商标 |
| Title | THE BOUNDEDNESS OF TOEPLITZ-TYPE OPERATORS ON VANISHING-MORREY SPACES |
| URI | http://lib.cqvip.com/qk/84206A/201104/40375633.html https://link.springer.com/article/10.1007/s10496-011-0309-y https://d.wanfangdata.com.cn/periodical/bjljqyy-e201104002 |
| Volume | 27 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NS8MwFA86L3oQP3Hzg4CelMDapm16HLIhgnrZYLeQNi-TMbvNzUP9633J2m6CDDw3Tct7ye99v0fIHdrFXGQB2MrcmOGhUEwFBlgaeWBEwrVOXYLsa_Q04M_DcFjWcS-qbPcqJOmQeqPYjduEWevSs2GBYpfshWi629s48DsV_IZh5DrtelHso3EU16HMv7awDRXep_lojp_7LZiqX3C1PLlR-WhD7PSOyGGpL9LOisHHZAfyE3LwUjdbXZySLrKapnY8EmgLXHRqaH8KqF0uv5l1sdK3GbhoOj7KKarOK78T-7CTOQqKmIJgcUYGvW7_8YmV0xFYhkqMz0ChsSNQ8iQC8UprkcYmQ3NJKAOJibN2kKAkAsPBE6CUD0Z5XPPIB-0LFavgnDTyaQ4XhPIUZVSI7xsv41ZHEBEkyECdeFwhCDRJqyaTnK26YEhup-dGQdAk7YpuMiv7itvxFhO57ohsyS6R7NKSXRZNcl-_Um23ZfFDxQxZ3q_FttW3Jb_Wi9PxZDwvCglO2UHQ8lv_2vOS7DtPsktiuSKN5ecXXKMqskxv3NH7Ae8B1RE |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NT8IwFG8UD-rB-BnBryV60jRhW7d1R2IgqIAXSLg13faqIbiB4GH-9b6WDTAxJJ7Xdst73e99v0fIHdrFjMcu6MrcgOKlkFS6Cmjk26B4yJIkMgmyPb89YM9Db1jUcc_KbPcyJGmQeq3YjemEWe3S02GBfJvsoC7A9diCgdMo4dfzfNNp1_YDB42jYBnK_OsI3VDhPUvfpvi634Kp_ARTy5Mqmb6tiZ3WITko9EWrsWDwEdmC9Jjsd5fNVmcnpImstiI9HgkSDVxWpqx-Bqhdzr-pdrFarxMw0XR8lFqoOi_8TvRDT-bILcQUBItTMmg1-49tWkxHoDEqMQ4FicYOR8kTcsSrJOFRoGI0l7hUEKogrrshSiJQDGwOUjqgpM0S5juQOFwG0j0jlTRL4ZxYLEIZ5eF-ZcdM6wjchxAZmIQ2kwgCVVJbkklMFl0wBNPTc33XrZJ6STcRF33F9XiLsVh1RNZkF0h2ocku8iq5X24pj9uw-KFkhij-r9mm1bcFv1aLo9F4NM1zAUbZQdByav8684bstvvdjug89V4uyJ7xKpuElktSmX9-wRWqJfPo2lzDHyWa2AQ |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT8JAEN4oJkYPxmcEX030pGmg7bbdHolC8IUeIOG22XZnMQRbEDzUX-9saQsmxsRzd7fNzPab9wwhV2gXUxY5oCtzfRMvhTCFo8AMPQsUC6iUYZYg2_U6ffowcAf5nNNZke1ehCQXNQ26S1M8r0-kqq8UvlGdPKvdezpEkK6TDURjS1_0vt0soNh1vazrruX5NhpKfhnW_O0I3VzhLYmHU3z1TyFVfE5W1xMrEQ9XRFB7l-zkuqPRXDB7j6xBvE-2n8vGq7MD0kK2G6EelQRSg5iRKKOXAGqa8y9Tu1uNlwlkkXV8FBuoRi98UOa7ntKRGogvCByHpN9u9W47Zj4pwYxQobFNEGj4MJRCAUPskpKFvorQdGJCQaD8qOEEKJVAUbAYCGGDEhaV1LNB2kz4wjkilTiJ4ZgYNER55eJ-ZUVU6wvMgwCZKQOLCgSEKqmVZOKTRUcMTvUkXc9xqqRR0I1HeY9xPepizJfdkTXZOZKda7LztEquyy3FcX8svimYwfN_bfbX6sucX8vF4Wg8mqYph0zxQQCza_8684Jsvt61-dN99_GEbGUO5iy35ZRU5h-fcIYayjw8z27hN8Ja3EA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=THE+BOUNDEDNESS+OF+TOEPLITZ-TYPE+OPERATORS+ON+VANISHING-MORREY+SPACES&rft.jtitle=%E5%88%86%E6%9E%90%E7%90%86%E8%AE%BA%E4%B8%8E%E5%BA%94%E7%94%A8%EF%BC%9A%E8%8B%B1%E6%96%87%E5%88%8A&rft.au=Xiaoniu+Cao+Dongxiang+Chen&rft.date=2011-12-01&rft.issn=1672-4070&rft.eissn=1573-8175&rft.volume=27&rft.issue=4&rft.spage=309&rft.epage=319&rft_id=info:doi/10.1007%2Fs10496-011-0309-y&rft.externalDocID=40375633 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F84206A%2F84206A.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fbjljqyy-e%2Fbjljqyy-e.jpg |