A Characterization of Approximation of Hardy Operators in VLS

Authors : Lütfi AKIN

Pages : 333-336

Doi:10.18466/cbayarfbe.449954

View : 16 | Download : 11

Publication Date : 2018-09-30

Article Type : Research Paper

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 di ff erential 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