Stein-Weiss inequality for local mixed radial-angular Morrey spaces

Abstract

In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established. We find that some conditions can be relaxed for the Stein-Weiss inequality for local mixed radial-angular Morrey spaces.

Keywords

• stein-weiss inequality
• fractional integral operator
• mixed radial-angular space
• local morrey space
• 42b20
• 42b25
• 42b35