Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces
نویسندگان
چکیده
منابع مشابه
Boundedness Properties of Pseudo-differential Operators and Calderón-zygmund Operators on Modulation Spaces
In this paper, we study the boundedness of pseudo-differential operators with symbols in Sm ρ,δ on the modulation spaces M p,q. We discuss the order m for the boundedness Op(Sm ρ,δ) ⊂ L(M p,q(Rn)) to be true. We also prove the existence of a Calderón-Zygmund operator which is not bounded on the modulation space Mp,q with q 6= 2. This unboundedness is still true even if we assume a generalized T...
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Since the theory of pseudo-differential operators was established in 1970’s, the L-boundedness of them with symbols in the Hörmander class S ρ,δ has been well investigated by many authors. Among them, Calderón-Vaillancourt [5] first treated the boundedness for the class S 0,0, which means that the boundedness of all the derivatives of symbols assures the L-boundedness of the corresponding opera...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2016
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-016-9461-2