Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

الملخص EN

We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces.

The purpose of this paper is to extend this result to a more general class.

More precisely, we introduce a class of singular integral operators including the classical Calderón-Zygmund singular integral operators and show that they are bounded on both the classical Hardy spaces and the product Hardy spaces.