Abstract
In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hörmander multiplier on the weighted Herz–type Hardy spaces\( H\ifmmode\expandafter\dot\else\expandafter\.\fi{K}^{{\alpha ,p}}_{2} {\left( {{\left| x \right|}^{t} ;{\left| x \right|}^{t} } \right)} \) and \( HK^{{\alpha ,p}}_{2} {\left( {{\left| x \right|}^{t} ;{\left| x \right|}^{t} } \right)} \).
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Research is supported in part by National Science Council in Taipei
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Lee, M.Y., Lin, C.C. & Lin, Y.T. Hörmander’s Multipliers for the Weighted Herz–type Hardy Spaces. Acta Math Sinica 22, 1509–1518 (2006). https://doi.org/10.1007/s10114-005-0801-4
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DOI: https://doi.org/10.1007/s10114-005-0801-4