Email this article Extended Cesàro Operators Between Hardy and Bergman Spaces on the Complex Ball
- Authors: Dubtsov E.S.1
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 243, No 6 (2019)
- Pages: 867-871
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/243175
- DOI: https://doi.org/10.1007/s10958-019-04586-2
- ID: 243175
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Abstract
We characterize those holomorphic symbols g for which the extended Cesàro operator Vg maps the Hardy space Hp(B) into the weighted Bergman space\( {A}_{\beta}^q(B) \), 0 < p < q < ∞, β > −1, on the unit ball B of ℂd.
About the authors
E. S. Dubtsov
St. Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: dubtsov@pdmi.ras.ru
Russian Federation, St. Peterburg
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