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Multipliers and Herz type spaces

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    ShanZhen Lu

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  1. ShanZhen Lu
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Correspondence to ShanZhen Lu.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 10571014)

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Lu, S. Multipliers and Herz type spaces. Sci. China Ser. A-Math. 51, 1919–1936 (2008). https://doi.org/10.1007/s11425-008-0075-2

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  • DOI: https://doi.org/10.1007/s11425-008-0075-2

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