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This article is cited in 1 scientific paper (total in 1 paper)
On some metric properties of the boundary values of functions that are analytic in a half-plane
N. V. Govorov, S. P. Grushevskii
Abstract:
A generalization is given of Kolmogorov's inequality for the Hilbert transform. The inequalities that are obtained are shown to be exact, and all extremal functions are determined.
Bibliography: 9 titles.
Received: 15.01.1980
Citation:
N. V. Govorov, S. P. Grushevskii, “On some metric properties of the boundary values of functions that are analytic in a half-plane”, Izv. Akad. Nauk SSSR Ser. Mat., 48:4 (1984), 659–675; Math. USSR-Izv., 25:1 (1985), 1–17
Linking options:
https://www.mathnet.ru/eng/im1485https://doi.org/10.1070/IM1985v025n01ABEH001262 https://www.mathnet.ru/eng/im/v48/i4/p659
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Abstract page: | 207 | Russian version PDF: | 85 | English version PDF: | 10 | References: | 41 | First page: | 1 |
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