\(\mathcal {R}_{s}\)-sectorial operators and generalized Triebel-Lizorkin spaces

DOI10.1007/s00041-013-9307-0zbMath1316.46036arXiv1207.4217OpenAlexW1975409499MaRDI QIDQ485219

Alexander Ullmann, Peer Christian Kunstmann

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4217

zbMATH Keywords

function spacesbounded \(H^\infty \)-calculusgeneralized Triebel-Lizorkin spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functional calculus for linear operators (47A60) Linear operators on function spaces (general) (47B38)

Related Items (14)

\(R\)-boundedness versus \(\gamma\)-boundedness ⋮ Rs-bounded H∞-calculus for sectorial operators via generalized Gaussian estimates ⋮ Real interpolation with weighted rearrangement invariant Banach function spaces ⋮ New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains ⋮ An intersection representation for a class of anisotropic vector-valued function spaces ⋮ Heat kernels and Besov spaces on metric measure spaces ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Fourier multipliers in Banach function spaces with UMD concavifications ⋮ \(\mathcal {R}_{s}\)-sectorial operators and generalized Triebel-Lizorkin spaces ⋮ Heat kernels and Besov spaces associated with second order divergence form elliptic operators ⋮ A new interpolation approach to spaces of Triebel-Lizorkin type ⋮ Variational Source Conditions in $L^p$-spaces ⋮ On the \(R\)-boundedness of stochastic convolution operators

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