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, ξ) 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.
The authors are supported by F.I.R.B. grant of Italian Government.
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Garello, G., Morando, A. (2006). Continuity in Quasi-homogeneous Sobolev Spaces for Pseudo-differential Operators with Besov Symbols. In: Toft, J. (eds) Modern Trends in Pseudo-Differential Operators. Operator Theory: Advances and Applications, vol 172. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8116-5_10
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DOI: https://doi.org/10.1007/978-3-7643-8116-5_10
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