2005•Journal of Zhejiang Water Conservancy and Hydropower CollegeRequires access

Boundedness of Singular Integrals on Hardy Spaces

Baoju Sun

Abstract

Theory of singular integrals is one of the main contents of harmonic analysis,atomic decomposition of functions on the weighted Hardy spaces and reverse Holder inequality for weighted functions are used to discuss the bondedness of some singular integral for atoms, then the bundedness of the singular integral for functions on the weighted Hardy spaces is proved by limiting on operator.

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Key concepts: Singular integral, Mathematics, Hardy space, Singular integral operators, Limiting, Mathematical analysis, Pure mathematics, Maximal function