A Maximal Theorem for Holomorphic Semigroups

Abstract

This has a unique solution v(x, t) = Ttf(x) in the sense of Hille and Phillips [14, p. 622] whenever Tt is a C0–semigroup on X with generator −A; one writes Tt = e−tA [14, p. 321]. In order to ensure that v(x, t) converges μ-almost everywhere to f(x) as t→ 0+, it is often necesary to impose further conditions on f . For any closed linear operator V in X, we… (More)

Topics

Cite this paper

@inproceedings{Blower2004AMT, title={A Maximal Theorem for Holomorphic Semigroups}, author={Gordon Blower and Ian Doust}, year={2004} }