Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces

2020/11/13 by Toft, Joachim
#44A15 #44A35 #46A16 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42B35 #Secondary 16W80

paper · doi:10.48550/arxiv.2011.06941

Abstract

We prove the boundedness of a general class of multipliers and Fourier multipliers, in particular of the Hilbert transform, on quasi-Banach modulation spaces. We also deduce boundedness for multiplications and convolutions for elements in such spaces.

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