Regularity Properties of Sectorial Operators: Counterexamples and Open Problems

DOI10.1007/978-3-319-18494-4_12zbMath1338.47045arXiv1407.1142OpenAlexW3004534190MaRDI QIDQ2801688

Stephan Fackler

Publication date: 21 April 2016

Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1142

zbMATH Keywords

counterexamplesectorial operator\(H^\infty\)-calculusmaximal regularitydilationsbounded imaginary powersSchauder multiplier\(\mathcal R\)-sectorial operator

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Dilations, extensions, compressions of linear operators (47A20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

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