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This article is cited in 1 scientific paper (total in 1 paper)
On Lebesgue Functions of Uniformly Bounded Orthonormal Systems
R. D. Getsadze Tbilisi Ivane Javakhishvili State University
Abstract:
A complement to A. M. Olevskii's fundamental inequality on the logarithmic growth of Lebesgue functions of an arbitrary uniformly bounded orthonormal system on a set of positive measure is made. Namely, the index where the Lebesgue functions have growth slightly weaker than logarithmic can be chosen independently of the variable. The theorem proved in this paper improves a result established earlier by the author.
Received: 08.10.1999
Citation:
R. D. Getsadze, “On Lebesgue Functions of Uniformly Bounded Orthonormal Systems”, Mat. Zametki, 69:2 (2001), 181–193; Math. Notes, 69:2 (2001), 158–169
Linking options:
https://www.mathnet.ru/eng/mzm494https://doi.org/10.4213/mzm494 https://www.mathnet.ru/eng/mzm/v69/i2/p181
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Abstract page: | 256 | Full-text PDF : | 175 | References: | 52 | First page: | 1 |
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