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Multipliers and Herz type spaces
作者单位:LU ShanZhen School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China
摘    要:Hrmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced.


Multipliers and Herz type spaces
Authors:ShanZhen Lu
Institution:(1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Abstract:Hörmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then established. As direct corollaries of main theorems in this paper, several celebrated results on boundedness of multiplier operators will be improved or deduced.
Keywords:multiplier  Herz space  Herz type Hardy space
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