A new interpolation approach to spaces of Triebel-Lizorkin type

zbMath1346.46018MaRDI QIDQ5965355

Peer Christian Kunstmann

Publication date: 3 March 2016

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1455203156

zbMATH Keywords

Triebel-Lizorkin spacesinterpolation theory

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functional calculus for linear operators (47A60) Interpolation between normed linear spaces (46B70)

Related Items (2)

A discrete framework for the interpolation of Banach spaces ⋮ Euclidean Structures and Operator Theory in Banach Spaces

Cites Work

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• A \(T(1)\)-theorem for non-integral operators
• \(\mathcal {R}_{s}\)-sectorial operators and generalized Triebel-Lizorkin spaces
• Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
• Theory of function spaces
• Hardy and BMO spaces associated to divergence form elliptic operators
• Characterizations of Besov-Hardy-Sobolev spaces via harmonic functions, temperatures, and related means
• Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
• Square functions and \(H^\infty\) calculus on subspaces of \(L^p\) and on Hardy spaces
• On square functions associated to sectorial operators
• The \(H^\infty\)-calculus and sums of closed operators

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