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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 134–140
(Mi znsl3682)
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The Gelfand and Bernstein widths of some classes of analytic functions. II
O. G. Parfenov Pskov State Pedagogical Institute
Abstract:
The Gelfand widths of the unit ball of $H^2(\nu)$ (the weighted Hardy space) with respect to the metric of the space $L_\infty(T_r)$ are considered ($T_r$ being the circle of radius $r$ centered at the origin), as well as the Bernstein widths of the unit ball of $H^\infty$ with respect to the metric of the space $L_2(T_r,\mu)$. The asymptotic formulas for the widths in the question are established for arbitrary measures $\nu,\mu$. Bibl. 5 titles.
Received: 13.11.1995
Citation:
O. G. Parfenov, “The Gelfand and Bernstein widths of some classes of analytic functions. II”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 134–140; J. Math. Sci. (New York), 92:1 (1998), 3630–3634
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https://www.mathnet.ru/eng/znsl3682 https://www.mathnet.ru/eng/znsl/v232/p134
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Abstract page: | 127 | Full-text PDF : | 52 |
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