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On moduli of smoothness and Fourier multipliers in $L_p, 0 < p < 1$

We obtain the theorem on the relationship between a modulus of smoothness and the best approximation in L p , 0 < p < 1, and theorems on the extension of functions with the preservation of the modulus of smoothness in L p , 0 < p < 1. In addition, we present a complet...

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Bibliographic Details
Date:	2007
Main Authors:	Kolomoitsev, Yu. S., Коломойцев, Ю. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3383
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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