A Characterization of Approximation of Hardy Operators in VLS

Year 2018, Volume: 14 Issue: 3, 333 - 336, 30.09.2018

Lütfi Akın

https://doi.org/10.18466/cbayarfbe.449954

Cited By: 3

Abstract

Variable exponent spaces and Hardy operator space have
played an important role in recent harmonic analysis because they have an
interesting norm including both local and global properties. The variable
exponent Lebesgue spaces are of interest for their applications to modeling
problems in physics, and to the study of variational integrals and partial differential
equations with non-standard growth conditions. This  studies 
also  has  been 
stimulated  by  problems 
of  elasticity,  fluid 
dynamics,  calculus  of variations,  and  
differential   equations  with 
non-standard   growth   conditions. In this study, we will discuss
a characterization of approximation of
Hardy operators in variable Lebesgue spaces.

Keywords

Variable exponent, Hardy operator, Sobolev space

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