A generalized $H^\infty$ functional calculus for operators on subspaces of $L^p$ and application to maximal regularity

Publication date: 8 November 1998

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

abstract maximal regularity results bounded holomorphic functional calculus first-order Cauchy problem

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

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$H^{\infty}$ calculus for submarkovian semigroups on weighted $L^2$ spaces ⋮ Perturbation and interpolation theorems for the $H^\infty$-calculus with applications to differential operators ⋮ Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I ⋮ $H^\infty $ calculus and dilatations ⋮ Square function estimates and the Kato problem for second order parabolic operators in $\mathbb{R}^{n + 1}$

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A generalized \(H^\infty\) functional calculus for operators on subspaces of \(L^p\) and application to maximal regularity