Compactness of hardy operator in the weighted vari̇able exponent lebesgue spaces

This thesis consist of four chapter. In the first chapter, there are literature summary for the thesis, aim of the thesis and hypothesis part. In the second chapter, there are the basic descriptions and theorem for the thesis and the beginning of the Hardy operator, historical development of it and the study of compactness problems. In the third chapter Hardy's operator compactness is showed in the weighted and variable exponent in Lebesgue space. In the last chapter, there is conclusions and advices. Keywords: Hardy operator, Weighted Space, Variable exponent, Lebesgue Space, Compactness