Anisotropic Herz and Herz-type Hardy spaces and applications

Abstract

In this thesis, we have presented the anisotropic Herz spaces and anisotropic Herz -type Hardy spaces with variable exponent, where we give some basic properties of these spaces, and finally we studied the boundedness of some sublinear operators in anisotropic Herz and anisotropic Herz – type Hardy spaces by using the decomposition theorems of these spaces.