Subharmonic functions with a Bergman type growth
Subharmonic functions with a Bergman-type growth on the unit ball of RN (N ∈ N, N ≥ 2) are studied jointly with their Riesz measure. Various estimations are obtained which generalize previous results due to C. Horowitz and A. A. Dolgoborodov concerning holomorphic functions in the unit disk of C, be...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2014-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(1-2)/47-68.pdf |
| _version_ | 1818734022565560320 |
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| author | Raphaele Supper |
| author_facet | Raphaele Supper |
| author_sort | Raphaele Supper |
| collection | DOAJ |
| description | Subharmonic functions with a Bergman-type growth on the unit ball of RN (N ∈ N, N ≥ 2) are studied jointly with their Riesz measure. Various estimations are obtained which generalize previous results due to C. Horowitz and A. A. Dolgoborodov concerning holomorphic functions in the unit disk of C, belonging for instance to the Bergman space. |
| first_indexed | 2024-12-17T23:58:45Z |
| format | Article |
| id | doaj.art-6cbda14930394ceb9d6e297c1e32bae0 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-17T23:58:45Z |
| publishDate | 2014-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-6cbda14930394ceb9d6e297c1e32bae02022-12-21T21:28:00ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502014-01-01351-24768Subharmonic functions with a Bergman type growthRaphaele Supper0Université de StrasbourgSubharmonic functions with a Bergman-type growth on the unit ball of RN (N ∈ N, N ≥ 2) are studied jointly with their Riesz measure. Various estimations are obtained which generalize previous results due to C. Horowitz and A. A. Dolgoborodov concerning holomorphic functions in the unit disk of C, belonging for instance to the Bergman space.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(1-2)/47-68.pdfsubharmonic functionsgrowthriesz measureunit ball |
| spellingShingle | Raphaele Supper Subharmonic functions with a Bergman type growth Rendiconti di Matematica e delle Sue Applicazioni subharmonic functions growth riesz measure unit ball |
| title | Subharmonic functions with a Bergman type growth |
| title_full | Subharmonic functions with a Bergman type growth |
| title_fullStr | Subharmonic functions with a Bergman type growth |
| title_full_unstemmed | Subharmonic functions with a Bergman type growth |
| title_short | Subharmonic functions with a Bergman type growth |
| title_sort | subharmonic functions with a bergman type growth |
| topic | subharmonic functions growth riesz measure unit ball |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(1-2)/47-68.pdf |
| work_keys_str_mv | AT raphaelesupper subharmonicfunctionswithabergmantypegrowth |