Proceedings of the American Mathematical Society

Author(s): Kasso A. Okoudjou
Journal: Proc. Amer. Math. Soc. 132 (2004), 1639-1647.
MSC (2000): Primary 46E35; Secondary 42B35
Posted: January 29, 2004
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Abstract: We give sufficient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some Besov-Triebel-Lizorkin spaces into modulation spaces. As a consequence we have a new proof that the Hölder-Lipschitz space $C^{s}(\mathbb{R} ^{d})$ embeds into the modulation space $M^{\infty,1}(\mathbb{R} ^{d})$ when

. This embedding plays an important role in interpreting recent modulation space approaches to pseudodifferential operators.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46E35, 42B35

Kasso A. Okoudjou
Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160
Address at time of publication: Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York, 14853-4201
Email: okoudjou@math.gatech.edu, kasso@math.cornell.edu

DOI: 10.1090/S0002-9939-04-07401-5
PII: S 0002-9939(04)07401-5
Keywords: Besov space, modulation space, Sobolev space, short-time Fourier transform, Triebel-Lizorkin space, time-frequency analysis
Received by editor(s): March 22, 2002
Posted: January 29, 2004
Additional Notes: The author was partially supported by NSF Grant DMS-9970524
Communicated by: David R. Larson
Copyright of article: Copyright 2004, American Mathematical Society

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