Convolution and potential type operators inLp(x)(Rn)
- 1 October 1998
- journal article
- research article
- Published by Taylor & Francis in Integral Transforms and Special Functions
- Vol. 7 (3-4) , 261-284
- https://doi.org/10.1080/10652469808819204
Abstract
In this paper we give a further development of the results of the paper [1] and apply it to convolution operators in the spaces Lp(x) . We consider the question of extendability of the Young theorem: well known for constant p and q, to the case when they may be variable. We also potential type operators with the Kernel . In section 1 we develop some estimates for Lp(x) -norms of power functions of distance truncated to exterior of a ball of radius . Section 2 deals with convolution operators in the spaces Lp(x) and Section 3 is devoted to potential type operators.Keywords
This publication has 1 reference indexed in Scilit:
- Convolution type operators inlp(x)Integral Transforms and Special Functions, 1998