, Volume 11, Issue 1, pp 15-39
Date: 13 Oct 2006

Gaussian Estimates of Order α and L p -Spectral Independence of Generators of C 0-Semigroups

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Abstract

We prove L p -spectral independence for generators of C 0-semigroups estimated by the positive C 0-semigroup . In the preliminary process of the proof, we obtain the asymptotic expansion formula for the integral kernel of the C 0-semigroup .