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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 303, Pages 111–118
(Mi znsl903)
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Weakly cyclic vectors with a given modulus
E. Doubtsov Saint-Petersburg State University
Abstract:
Let $H^p$ be the Hardy space in the polydisc. Denote by $\mathcal P$ the set of all holomorphic polynomials. A vector $f\in H^p$ is called weakly cyclic if the product $f\mathcal P$ is weakly dense in $H^p$, $0<p<1$. We construct weakly cyclic vectors with a prescribed lower semicontinuous modulus of the boundary values.
Received: 10.07.2003
Citation:
E. Doubtsov, “Weakly cyclic vectors with a given modulus”, Investigations on linear operators and function theory. Part 31, Zap. Nauchn. Sem. POMI, 303, POMI, St. Petersburg, 2003, 111–118; J. Math. Sci. (N. Y.), 129:4 (2005), 3990–3993
Linking options:
https://www.mathnet.ru/eng/znsl903 https://www.mathnet.ru/eng/znsl/v303/p111
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Abstract page: | 176 | Full-text PDF : | 34 | References: | 32 |
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