Sobolev type inequalities for fractional maximal functions and Riesz potentials in half spaces

Yoshihiro Mizuta, Tetsu Shimomura

In this paper, we study Sobolev type inequalities for fractional maximal functions $M_{\mathbb{H},\nu }f$ and Riesz potentials $I_{\mathbb{H},\alpha }f$ of functions in weighted Morrey s…