THE SPACE BMO AND STRONG MEANS OF FOURIER-WALSH SERIES

V. Rodin
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引用次数: 13

Abstract

This article is devoted to series in the Walsh-Paley system. In particular, for an integrable function a condition is obtained for p-strong summability of the Fourier-Walsh series a.e. on [0,1] along with a uniform analogue for a continuous, function on [0,1].
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傅里叶-沃尔什级数的空间bmo和强手段
本文专门讨论沃尔什-佩利系统中的系列。特别地,对于一个可积函数,得到了在[0,1]上的傅里叶-沃尔什级数a.e.的p强可和性的一个条件,以及在[0,1]上的连续函数的一致类似。
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ON A PROPERTY OF THE SUBDIFFERENTIAL ON THE TRACE FORMULAS OF GEL'FAND-LEVITAN AND KREĬN ASYMPTOTICS OF THE COEFFICIENT OF QUASICONFORMALITY, AND THE BOUNDARY BEHAVIOR OF A MAPPING OF A BALL ON FUNCTIONS WITH SIMILAR VALUES FOR MINIMAL DEVIATIONS FROM POLYNOMIALS AND RATIONAL FUNCTIONS THE SPACE BMO AND STRONG MEANS OF FOURIER-WALSH SERIES
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