Multivariable Spectral Multipliers and Analysis of Quasielliptic Operators on Fractals

Sikora, Adam

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Multivariable Spectral Multipliers and Analysis of Quasielliptic Operators on Fractals

Date

2009

Authors

Sikora, Adam

Publisher

Indiana University Press

Abstract

We study multivariable spectral multipliers F (11,12) acting on the Cartesian product of ambient spaces of two self-adjoint operators L\ and I2. We prove that if F satisfies Hdrmander type differentiability condition then the operator F(L],£2) is of Cald