A sharp equivalence between \(H ^{\infty }\) functional calculus and square function estimates

DOI10.1007/s00028-012-0154-2zbMath1275.47034arXiv1111.3719OpenAlexW2465874560MaRDI QIDQ1935539

Christian Le Merdy

Publication date: 18 February 2013

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3719

zbMATH Keywords

sectorial operatorssquare function estimatesholomorphic functional calculusR-boundedness

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60)

Related Items (3)

Operational approach for biharmonic equations in \(L^p\)-spaces ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ \(H^{\infty}\)-calculus for semigroup generators on BMO

Cites Work

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• On the closedness of the sum of two closed operators
• \(H^{\infty}\) functional calculus and square function estimates for Ritt operators
• The functional calculus for sectorial operators
• The H∞-Functional Calculus and Square Function Estimates
• On square functions associated to sectorial operators
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• The \(H^\infty\)-calculus and sums of closed operators

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