Marcinkiewicz积分算子及其交换子在非齐度量测度空间上的有界性

Abstract

Abstract:

Let $ ({\cal X}, d, \mu) $ be a non-homogeneous metric measure space satisfying both the geometrically doubling and the upper doubling conditions. By using the properties of non-homogeneous metric measure space and inequality technique, the authors proved that the Marcinkiewicz integral operator and its commutator are bounded on Herz spaces and Herz type Hardy spaces with non-homogeneous metric measure space.

Key words: Non-homogeneous metric measure space, Herz space, Hardy space, Marcinkiewicz integral, Boundedness

CLC Number:

O174.2

Yaoyao Han,Kai Zhao. Boundedness of Marcinkiewicz Integral and Its Commutator on Non-Homogeneous Metric Measure Spaces[J].Acta mathematica scientia,Series A, 2020, 40(3): 597-610.

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References 19

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Boundedness of Marcinkiewicz Integral and Its Commutator on Non-Homogeneous Metric Measure Spaces

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