Norm estimates of a class of Calderon–Zygmund type strongly singular integral operators

Abstract

In this article, we prove the L ^p boundedness of a class of Calderon–Zygmund type strongly singular operators. In particular, we give an estimate for the L ² norm of these operators in the unit disc of the complex plane.

Keywords:

• Singular integral operator
• Calderon–Zygmund type operator
• Forelli–Rudin estimates
• Pompeiu operator