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Sharp embedding between Besov-Triebel-Sobolev spaces and modulation spaces

Published 27 Aug 2021 in math.FA and math.CA | (2108.12106v2)

Abstract: The embedding relations between Besov-Triebel-Sobolev spaces and modulation spaces are determined explicitly. We extend the results of Sugimoto[2007]; Wang[2007] and Kobayashi[2011] to the most general cases. And we give the sharp embedding between Fourier $L{p}$ spaces and modulation spaces.

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