\(L^p\) inequalities

DOI10.1016/0022-247X(78)90002-1zbMath0409.46037OpenAlexW4205226946MaRDI QIDQ1258947

Lynn R. Williams, James H. Wells

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-247x(78)90002-1

zbMATH Keywords

Clarkson InequalitiesHausdorff-Young TheoremRiesz-Thorin Interpolation

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Related Items

On the approximation of functions in spaces \(L_ p\), The modulus of continuity in \(L_ p\), Approximation in \(L_ p\) by means of piecewise-constant functions, Approximation of functions in the spaces \(L_ p\), Estimates for polynomial norms on L^p(μ) spaces, Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces, Jung's relative constant of the space \(L_ p\), Sharp estimates of approximation in \(L_ p\) by functions of the form \(\phi (x)+\psi (y)\), On the separation of sets by a hyper-plane in \(L_ p\), Jung constants of the \(\ell ^ n_ p\)-spaces, Complex interpolation and geometry of Banach spaces

Cites Work

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• The spaces \(L^ p\), with mixed norm
• On the extension of Lipschitz-Hölder maps of order \(\beta\)
• Analytic Inequalities
• On the extension of Lipschitz-Hölder maps on $L^{P}$ spaces
• Uniformly Convex Spaces
• Metric Spaces and Positive Definite Functions