Inequalities for the fractional convolution operator on differential forms

Abstract

Abstract The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also obtained.

Keywords

• Fractional convolution operator
• Coifman type inequality
• BMO norm
• Lipschitz norm
• Differential form