Publications
Talk · AIP conference proceedings · January 1, 2017
On relation between two classes of functions defined by series with respect to Haar system
Nurzhan Bokayev, Aizhan Syzdykova
Abstract
In this paper we consider the classes of functions Bp,θ (α) and Wp,θ (α) defined by series with respect to Haar system. The conditions on the function α(t) that ensure the embedding of these classes for different values of the parameter θ are given. For trigonometric series such a question was investigated by Potapov. In contrast to the trigonometric case, the conditions imposed on the function α(t) are less restrictive.
Advanced Harmonic Analysis ResearchAdvanced Banach Space TheoryApproximation Theory and Sequence SpacesHaar systemtrigonometric series
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