WEIGHTED MULTIPARAMETER LOCAL HARDY SPACES

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS（2022）

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摘要

We apply the discrete multiparameter local Calderon identity and Littlewood-Paley-Stein theory with weights to carry out the weighted multiparameter local Hardy spaces h(w)(p) of arbitrary k number of parameters (k >= 3). We will derive the (h(w)(p), h(w)(p)) and (h(w)(p), L-w(p)) (0 < p <= 1) boundedness for multiparameter inhomogeneous singular integral operators with slightly weaker assumptions on the kernel.

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关键词

weighted multiparameter local Hardy spaces, discrete multiparameter local Calderon identity, multiparameter inhomogeneous singular integral operators, discrete Littlewood-Paley-Stein theory

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