Multilinear strongly singular integral operators on non-homogeneous metric measure spaces

Abstract

Abstract Let ( X , d , μ ) $(X,d,\mu )$ be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non-homogeneous metric measure spaces is proved. As an application, the boundedness in Morrey spaces for multilinear strongly singular integral operators is also obtained.

Keywords

• Multilinear strongly singular integral
• Non-homogeneous metric measure spaces
• Lebesgue spaces
• Morrey spaces