In this paper a result of continuity for pseudo-differential operators With non-regular symbols on spaces of quasi-homogeneous type is given. More precisely, the symbols a(x, xi) take their values in a quasi-homogeneous Besov space with respect to the x variable; moreover a finite number of derivatives With respect to the second variable satisfies, in Besov norm, decay estimates of quasi-homogeneous type.
Continuity in quasi-homogeneous Sobolev spaces for pseudo-differential operators with Besov symbols
MORANDO, Alessandro
2007-01-01
Abstract
In this paper a result of continuity for pseudo-differential operators With non-regular symbols on spaces of quasi-homogeneous type is given. More precisely, the symbols a(x, xi) take their values in a quasi-homogeneous Besov space with respect to the x variable; moreover a finite number of derivatives With respect to the second variable satisfies, in Besov norm, decay estimates of quasi-homogeneous type.File in questo prodotto:
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