Carleson Measure in Bergman-Orlicz Space of Polydisc
Let μ be a finite, positive measure on 𝔻n, the polydisc in ℂn, and let σn be 2n-dimensional Lebesgue volume measure on 𝔻n. For an Orlicz function φ, a necessary and sufficient condition on μ is given in order that the identity map J:Laφ(𝔻n,σn)→Lφ(𝔻n,μ)...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/603968 |
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| author | An-Jian Xu Zou Yang |
| author_facet | An-Jian Xu Zou Yang |
| author_sort | An-Jian Xu |
| collection | DOAJ |
| description | Let μ be a finite, positive measure on 𝔻n, the polydisc in ℂn, and let σn be 2n-dimensional Lebesgue volume measure on 𝔻n. For an Orlicz function φ, a necessary and sufficient condition on μ is given in order that the identity map J:Laφ(𝔻n,σn)→Lφ(𝔻n,μ) is bounded. |
| format | Article |
| id | doaj-art-b5b3cc6a910b45669c3117f0753979c0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b5b3cc6a910b45669c3117f0753979c02025-02-03T01:26:33ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/603968603968Carleson Measure in Bergman-Orlicz Space of PolydiscAn-Jian Xu0Zou Yang1Department of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, Chongqing Education College, Chongqing 400067, ChinaLet μ be a finite, positive measure on 𝔻n, the polydisc in ℂn, and let σn be 2n-dimensional Lebesgue volume measure on 𝔻n. For an Orlicz function φ, a necessary and sufficient condition on μ is given in order that the identity map J:Laφ(𝔻n,σn)→Lφ(𝔻n,μ) is bounded.http://dx.doi.org/10.1155/2010/603968 |
| spellingShingle | An-Jian Xu Zou Yang Carleson Measure in Bergman-Orlicz Space of Polydisc Abstract and Applied Analysis |
| title | Carleson Measure in Bergman-Orlicz Space of Polydisc |
| title_full | Carleson Measure in Bergman-Orlicz Space of Polydisc |
| title_fullStr | Carleson Measure in Bergman-Orlicz Space of Polydisc |
| title_full_unstemmed | Carleson Measure in Bergman-Orlicz Space of Polydisc |
| title_short | Carleson Measure in Bergman-Orlicz Space of Polydisc |
| title_sort | carleson measure in bergman orlicz space of polydisc |
| url | http://dx.doi.org/10.1155/2010/603968 |
| work_keys_str_mv | AT anjianxu carlesonmeasureinbergmanorliczspaceofpolydisc AT zouyang carlesonmeasureinbergmanorliczspaceofpolydisc |