Multipliers and Herz type spaces |
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作者单位: | LU ShanZhen School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China |
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摘 要: | Hrmander 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.
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Multipliers and Herz type spaces |
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Authors: | ShanZhen Lu |
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Institution: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China |
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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. |
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Keywords: | multiplier Herz space Herz type Hardy space |
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