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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Wang, Hua

关键词: Bochner-Riesz operators;    Weighted Herz-type Hardy spaces;    A(p) weights;    Atomic decomposition;    Molecular characterization;   

DOI  :  10.1016/j.jmaa.2011.02.033

来源: Elsevier

【 摘 要 】

In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces H K over dot(q)(alpha.p)(w(1), w(2)) (H K-q(alpha,P)(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 < p <= 1 and 1 < q < infinity. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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