Unimodular multipliers on α-modulation spaces: a revisit with new method

被引：0
作者：
Zhao, Guoping [1 ]
Guo, Weichao [2 ]
机构：
[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2021年 / 12卷 / 01期
关键词：
Unimodular multiplier; alpha-Modulation space; Fourier multiplier; 42B15; 42B35; 42B37; FRACTIONAL INTEGRAL-OPERATORS; FOURIER MULTIPLIERS; WIENER AMALGAM; BANACH-SPACES; BOUNDEDNESS; SHARPNESS; EQUATIONS;
D O I：
10.1007/s43034-020-00089-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By a new method derived from Nicola-Primo-Tabacco in [J Pseudo-Differ Oper Appl 10:359-378 (2019)], we study the boundedness on alpha -modulation spaces of unimodular multipliers with symbol ei mu(xi). Comparing with the previous results, the boundedness result is established for a larger family of unimodular multipliers under weaker assumptions.
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