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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 2, Pages 139–145
(Mi uzeru376)
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Mathematics
Operators on the Besov spaces of holomorphic functions on the unit ball in $\mathbb{C}^n$
A. V. Harutyunyanab, W. Luskyb a Chair of Numerical Analysis and Mathematical Modelling, YSU, Armenia
b Institute of Mathematics, University of Paderborn, FRG
Abstract:
In the present paper we consider the Toeplitz-$T^{\alpha}_{\bar{h}}$ and differentiation-$D^{\delta}$ operators on the Besov spaces $B_p(\beta)$ for all $0<p<\infty$. We show that $T^{\alpha}_{\bar{h}}:B_p(\beta)\rightarrow B_p(\beta)$ for $\bar{h}\in H^{\infty}(B^n)$ and $D^{\delta}:B_p(\beta)\rightarrow B_p(\tilde\beta)$ where $\widetilde\beta=\beta+p\delta$.
Keywords:
weighted Besov spaces, unit ball, projection.
Received: 28.11.2016 Accepted: 15.01.2017
Citation:
A. V. Harutyunyan, W. Lusky, “Operators on the Besov spaces of holomorphic functions on the unit ball in $\mathbb{C}^n$”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:2 (2017), 139–145
Linking options:
https://www.mathnet.ru/eng/uzeru376 https://www.mathnet.ru/eng/uzeru/v51/i2/p139
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Abstract page: | 121 | Full-text PDF : | 41 | References: | 32 |
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