On Relation Between Two Classes of Functions Defined by Series with Respect to Haar System.

Autor: Bokayev, Nurzhan, Syzdykova, Aizhan
Předmět:
Zdroj: AIP Conference Proceedings; 2017, Vol. 1880 Issue 1, p1-8, 8p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index