The inclusion relation between Sobolev and modulation spaces

Details The inclusion relation between Sobolev and modulation spaces The inclusion relation between Sobolev and modulation spaces

2010-09-05

arxiv.org/abs/1009.0895v2

Mathematics

Functional Analysis

21 pages

Scientific paper

The inclusion relations between the $L^p$-Sobolev spaces and the modulation
spaces is determined explicitly. As an application, mapping properties of
unimodular Fourier multiplier $e^{i|D|^\alpha}$ between $L^p$-Sobolev spaces
and modulation spaces are discussed.

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