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- W1650203664 abstract "In this paper, we study the boundedness of pseudo-differential operators with symbols in $S_{rho,delta}^m$ on the modulation spaces $M^{p,q}$. We discuss the order $m$ for the boundedness $mathrm{Op}(S_{rho,delta}^m) subset calL(M^{p,q}(R^n))$ to be true. We also prove the existence of a Calder'on-Zygmund operator which is not bounded on the modulation space $M^{p,q}$ with $q neq 2$. This unboundedness is still true even if we assume a generalized T(1) condition. These results are induced by the unboundedness of pseudo-differential operators on $M^{p,q}$ whose symbols are of the class $S_{1,delta}^0$ with $0<delta<1$." @default.
- W1650203664 created "2016-06-24" @default.
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- W1650203664 date "2007-01-29" @default.
- W1650203664 modified "2023-09-27" @default.
- W1650203664 title "Boundedness properties of pseudo-differential operators and Calder'on-Zygmund operators on modulation spaces" @default.
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