arXiv:1703.08989 Abstract | arXiv Analytics

arXiv:1703.08989 [math.FA]Abstract References Reviews Resources

Boundedness of Pseudodifferential Operators with symbols in Wiener amalgam spaces on Modulation Spaces

Published 2017-03-27Version 1

This paper provides sufficient conditions for the boundedness of Weyl operators on modulation spaces. The Weyl symbols belong to Wiener amalgam spaces, or generalized modulation spaces, as recently renamed by their inventor Hans Feichtinger. This is the first result which relates symbols in Wiener amalgam spaces to operators acting on classical modulation spaces.

Comments: 11 pages

Categories: math.FA

Subjects: 42B35, 35B65, 35J10, 35B40

Keywords: wiener amalgam spaces, pseudodifferential operators, boundedness, weyl symbols belong, inventor hans feichtinger

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