Functional calculus for infinitesimal generators of holomorphic semigroups

DOI10.1006/jfan.1997.3136zbMath0897.43002OpenAlexW1989653172MaRDI QIDQ1376554

José E. Galé, Tadeusz Pytlik

Publication date: 6 October 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3136

zbMATH Keywords

Banach algebrafunctional calculusstratified Lie groupsBanach space semigroupWeyl fractional integrals

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (14)

FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY ⋮ Bochner-Riesz profile of anharmonic oscillator \(\mathcal{L} = -\frac{d^2}{dx^2} + |x|\) ⋮ Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ \(C_0\)-semigroups and resolvent operators approximated by Laguerre expansions ⋮ Nyman type theorem in convolution Sobolev algebras ⋮ Special functions as subordinated semigroups on the real line ⋮ Algebra structure of operator-valued Riesz means ⋮ Hörmander functional calculus for Poisson estimates ⋮ Almost everywhere convergence of Bochner-Riesz means for the Hermite operators ⋮ Hilbert, Dirichlet and Fejér families of operators arising from \(C_0\)-groups, cosine functions and holomorphic semigroups ⋮ Continuous Sheffer families. II ⋮ One-parameter groups of regular quasimultipliers ⋮ Integral operators on Sobolev-Lebesgue spaces ⋮ Plancherel-type estimates and sharp spectral multipliers

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