Pseudodifferential Operators on Lp, Wiener Amalgam and Modulation Spaces"
نویسندگان
چکیده
منابع مشابه
Pseudodifferential Operators on L, Wiener Amalgam and Modulation Spaces
We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces M, acting on a given Lebesgue space L. Namely, we find the full range of triples (p, q, r), for which such a boundedness occurs. More generally, we completely characterize the same problem for operators acting on Wiener amalgam space W (L, L) and even on modulation spaces M . ...
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Approximation property and nuclearity on mixed-norm Lp, modulation and Wiener amalgam spaces
In this paper, we first prove the metric approximation property for weighted mixed-norm L (p1,...,pn) w spaces. Using Gabor frame representation, this implies that the same property holds in weighted modulation and Wiener amalgam spaces. As a consequence, Grothendieck’s theory becomes applicable, and we give criteria for nuclearity and r-nuclearity for operators acting on these spaces as well a...
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We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces M s and Wiener amalgam spaces W p,q s . We show that the periodic Brownian motion belongs locally in time to M s (T) and W p,q s (T) for (s − 1)q < −1, and the condition on the indices is optimal. Moreover, with the Wiener measure μ on T, we show that (M s (T), μ) and (W p,q s (T...
متن کاملComposition and Spectral Invariance of Pseudodifferential Operators on Modulation Spaces
We introduce new classes of Banach algebras of pseudodifferential operators with symbols in certain modulation spaces and investigate their composition and the functional calculus. Operators in these algebras possess the spectral invariance property on the associated family of modulation spaces. These results extend and contain Sjöstrand’s theory, and they are obtained with new phase space meth...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2009
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnp190