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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2011, Issue 2, Pages 11–16
(Mi uzeru175)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On bounded operators in $L^p$ spaces
A. I. Petrosyan, A. F. Beknazaryan
Chair of Mathematical Analysis, YSU
Abstract:
In the present paper the linear operators that depend on a normal pair of weight functions $\{\varphi,\psi\}$ in the Banach spaces $L^p(D)$, where $D$ is the unit disk in the complex plane, are considered. It is investigated, for which values of these operators are bounded.
Keywords:
Banach space, analytic function, bounded operator.
Received: 29.12.2010
Accepted: 02.02.2011
Citation:
A. I. Petrosyan, A. F. Beknazaryan, “On bounded operators in $L^p$ spaces”, Proceedings of the YSU, Physical and Mathematical Sciences, 2011, no. 2, 11–16
Linking options:
https://www.mathnet.ru/eng/uzeru175 https://www.mathnet.ru/eng/uzeru/y2011/i2/p11
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| Abstract page: | 94 | | Full-text PDF : | 33 | | References: | 23 |
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