Estimates for generalized wave‐type Fourier multipliers on modulation spaces and applications
Yufeng Lu
Abstract:We consider the boundedness of the Fourier multipliers on modulation spaces, where h defined on is a positive homogeneous function with degree and is a smooth function satisfying some decay conditions. We prove the boundedness of this kind of Fourier multipliers and obtain its asymptotic estimates as t goes to infinity. We remote the restriction in Deng, Ding, and Sun's result in [Nonlinear Anal. 85 (2013), 78–92], and we consider the more general form of this multiplier. As applications, we obtain the g… Show more
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