Herz-Type Hardy Spaces Associated with Operators

Abstract EN

Suppose L is a nonnegative, self-adjoint differential operator.

In this paper, we introduce the Herz-type Hardy spaces associated with operator L.

Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L.

As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.