THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES*

doi:10.1007/s10473-024-0121-3

Abstract

Abstract: Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates. In this paper, we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.

Key words: weighted multi-parameter local Hardy spaces, atomic decomposition, boundedness, inhomogeneous Journé, class

CLC Number:

42B35

Wei Ding, Yan Tang, Yueping Zhu. THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES^*[J].Acta mathematica scientia,Series B, 2024, 44(1): 386-404.

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References

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THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES^*

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