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Weighted Multi-Parameter Non-Isotropic Flag Triebel-Lizorkin and Besov Spaces

Commun. Math. Anal.
Volume 16, Number 2 (2014), 74 - 88

Weighted Multi-Parameter Non-Isotropic Flag Triebel-Lizorkin and Besov Spaces

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Abstract

In this paper, the authors use the discrete Littlewood-Paley-Stein theory to introduce weighted multi-parameter Triebel-Lizorkin and Besov spaces associated with non-isotropic flag singular integrals under a rather weak weight condition ($w\in A_\infty$). They also obtain the boundedness of flag singular integrals on these spaces.