Ağırlıklı değişken üslü sobolev uzayları ve bazı temel özellikleri

This thesis study is consist of three basic parts. The first part is deviated to the characteristics of introduction, in which the history of variable exponent Lebesgue spaces and Sobolev spaces and their current usage areas are briefly discussed. In the second part, some basic concepts used in the thesis, variable exponent Lebesgue space and some important basic properties are examined. In the first chapter of the findings section, some basic properties of the weighted variable exponent Lebesgue and the weighted variable exponent Sobolev spaces are examined. In the second part, compact embedding properties of these two spaces are investigated.