Geometry of Lebesgue-Bochner Function Spaces-Smoothness

DOI10.2307/1996757zbMath0289.46023OpenAlexW4230407810MaRDI QIDQ4777875

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Publication date: 1974

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bams/1183534666

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Abstract differentiation theory, differentiation of set functions (28A15)

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The \(p\)-\(HH\) norms on Cartesian powers and sequence spaces ⋮ Variational principles and mean value estimates ⋮ Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints ⋮ Banach gradient flows for various families of knot energies ⋮ Finite representation of Banach spaces-smoothness ⋮ Fréchet differentiability of \(\mathcal{S}^p\) norms ⋮ Unnamed Item ⋮ Maximal Inequalities and Exponential Estimates for Stochastic Convolutions Driven by Lévy-type Processes in Banach Spaces with Application to Stochastic Quasi-Geostrophic Equations

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