MIXED LIPSCHITZ SPACES AND THEIR APPLICATIONS

doi:10.1007/s10473-022-0217-6

Abstract

Abstract: The purpose of this paper is to introduce bi-parameter mixed Lipschitz spaces and characterize them via the Littlewood-Paley theory. As an application, we derive a boundedness criterion for singular integral operators in a mixed Journé class on mixed Lipschitz spaces. Key elements of the paper are the development of the Littlewood-Paley theory for a special mixed Besov spaces, and a density argument for the mixed Lipschitz spaces in the weak sense.

Key words: Mixed Lipschitz spaces, Littlewood-Paley theory, singular integral operators

CLC Number:

42B35

Shaoyong HE, Jiecheng CHEN. MIXED LIPSCHITZ SPACES AND THEIR APPLICATIONS[J].Acta mathematica scientia,Series B, 2022, 42(2): 690-714.

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References

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