Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces

Details Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces

2010-09-30

arxiv.org/abs/1009.6142v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces $H\dot K^{\alpha,p}_q(w_1,w_2)(HK^{\alpha,p}_q(w_1,w_2))$, we obtain some weighted boundedness properties of the Bochner-Riesz operator and the maximal Bochner-Riesz operator on these spaces for $\alpha=n(1/p-1/q)$, $0

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