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arXiv · 2312.09229

Criteria for Analyticity of Multidimensionally Subordinate Semigroups

A. R. Mirotin
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Abstract

Let $\psi$ be a Bernstein function in one variable. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for $\psi$ to have a property that $\psi(A)$ generates a quasibounded holomorphic semigroup for every generator $A$ of a bounded $C_0$-semigroup in a Banach space and deduced necessary conditions as well. We generalize their results to the multidimensional case and also give sufficient conditions for the property mentioned above.

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A. R. Mirotin. 2023-12-14. Criteria for Analyticity of Multidimensionally Subordinate Semigroups. https://arxiv.org/abs/2312.09229

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