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L p Microlocal Properties for Vector Weighted Pseudodifferential Operators with Smooth Symbols

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Fourier Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

The authors introduce a class of pseudodifferential operators, whose symbols satisfy completely inhomogeneous estimates at infinity for the derivatives.

Continuity properties in suitable weighted Sobolev spaces of L p type are L p given and microlocal properties studied.

Mathematics Subject Classification (2010). Primary 35S05; Secondary 35A17.

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Correspondence to Gianluca Garello .

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Garello, G., Morando, A. (2014). L p Microlocal Properties for Vector Weighted Pseudodifferential Operators with Smooth Symbols. In: Ruzhansky, M., Turunen, V. (eds) Fourier Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-02550-6_7

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