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Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces
Authors:Hua Wang
Institution:School of Mathematical Sciences, Peking University, Beijing 100871, China
Abstract:In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces View the MathML sourceView the MathML source, we obtain some weighted boundedness properties of the Bochner-Riesz operator and the maximal Bochner-Riesz operator on these spaces for α=n(1/p−1/q), 0<p?1 and 1<q<∞.
Keywords:Bochner-Riesz operators  Weighted Herz-type Hardy spaces  _method=retrieve&  _eid=1-s2  0-S0022247X11001466&  _mathId=si6  gif&  _pii=S0022247X11001466&  _issn=0022247X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=aa59ded2bd1bad45121acccf1ff8938a')" style="cursor:pointer  Ap weights" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Ap weights  Atomic decomposition  Molecular characterization
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