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arXiv · 2011.06941

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

Joachim Toft
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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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Joachim Toft. 2020-11-13. Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces. https://arxiv.org/abs/2011.06941

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