Functional calculus for generators of symmetric contraction semigroups

By A. Carbonaro, Oliver Dragivcevi'c. 2013

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We prove that every generator of a symmetric contraction semigroup on a $\sigma$-finite measure space admits, for $1<p<\infty$, a H\"ormander-type holomorphic functional calculus on $L^p$ in the sector of angle $\phi^*_p=\arcsin|1-2/p|$. The obtained angle is optimal.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a62f1edd80a4ad8c7af0bbe1ea8ce7a722c6ad69