Mixed modulation spaces and their application to pseudodifferential operators
نویسندگان
چکیده
منابع مشابه
Mixed Modulation Spaces and Their Application to Pseudodifferential Operators
This paper uses frame techniques to characterize the Schatten class properties of integral operators. The main result shows that if the coefficients {〈k,Φm,n〉} of certain frame expansions of the kernel k of an integral operator are in l, then the operator is Schatten p-class. As a corollary, we conclude that if the kernel or Kohn-Nirenberg symbol of a pseudodifferential operator lies in a parti...
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Pseudodifferential Operators on L, Wiener Amalgam and Modulation Spaces
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We prove continuity results for Fourier integral operators with symbols in modulation spaces, acting between modulation spaces. The phase functions belong to a class of nondegenerate generalized quadratic forms that includes Schrödinger propagators and pseudodifferential operators. As a byproduct we obtain a characterization of all exponents p, q, r 1 , r 2 , t 1 , t 2 ∈ [1, ∞] of modulation sp...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.08.032