H∞Functional Calculus and Maximal Inequalities for Semigroups of Contractions on Vector-ValuedLp-Spaces

DOI10.1093/IMRN/RNU104zbMath1339.47055arXiv1402.2344OpenAlexW2962742391MaRDI QIDQ3454238

Quanhua Xu

Publication date: 24 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2344

zbMATH Keywords

analytic semigroupssemigroup theoryfunctional calculusmaximal inequalitiesvector-valued \(L_p\)-spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)

Related Items (13)

\(H^{\infty}\) calculus for submarkovian semigroups on weighted \(L^2\) spaces ⋮ On a conjecture of Pisier on the analyticity of semigroups ⋮ Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise ⋮ The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure ⋮ A characterization of absolutely dilatable Schur multipliers ⋮ Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator ⋮ Dunkl spectral multipliers with values in UMD lattices ⋮ The Ritt property of subordinated operators in the group case ⋮ A note on the behavior of the Dunkl maximal operator ⋮ Vector valued \(q\)-variation for ergodic averages and analytic semigroups ⋮ Dimension-free estimates for the vector-valued variational operators ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates ⋮ Vector-valued extensions of operators through multilinear limited range extrapolation

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