Improved Sobolev Inequalities

DOI10.2307/1999392zbMath0521.46024OpenAlexW4239545474MaRDI QIDQ3671692

Robert S. Strichartz

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999392

zbMATH Keywords

Fourier transformwave equationRadon transformSobolev inequalitiesembeddings into Lipschitz- Zygmund spacesfunctions on symmetric spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Wave equation (35L05) Harmonic analysis on general compact groups (43A77)

Related Items (4)

On images of Radon transforms ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation ⋮ Fourier analysis of periodic Radon transforms

Cites Work

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• \(L^ p\) estimates for Radon transforms in Euclidean and non-Euclidean spaces
• Approximation theory, absolute convergence, and smoothness of random Fourier series on compact Lie groups
• On \(L_2-L_{p'}\) estimates for the wave-equation
• The Kunze-Stein phenomenon
• Boundedness of translation invariant operators on Hölder spaces and \(L^ p\)-spaces
• A priori estimates for the wave equation and some applications
• Some Remarks on the Exponential Mapping for an Affine Connection.
• Convolutions with Kernels Having Singularities on a Sphere
• Polynomial Approximation on Compact Manifolds and Homogeneous Spaces

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