\(H\)-distributions: an extension of \(H\)-measures to an \(L^p-L^q\) setting
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Publication:642736
DOI10.1155/2011/901084zbMath1229.42014arXiv0907.1373OpenAlexW1526289491WikidataQ58654513 ScholiaQ58654513MaRDI QIDQ642736
Publication date: 27 October 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.1373
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Hyperbolic equations and hyperbolic systems (35L99)
Related Items
\(H\)-distributions via Sobolev spaces ⋮ On an extension of a bilinear functional on \(L^p(\mathbf R^d)\otimes E\) to a Bochner space with an application to velocity averaging ⋮ Propagation principle for parabolic H-measures ⋮ On compactness of commutator of multiplication and pseudodifferential operator ⋮ Characteristic scales of bounded L 2 sequences ⋮ On relationship between $H$-distributions and microlocal compactness forms ⋮ Defect distributions applied to differential equations with power function type coefficients ⋮ Velocity averaging for diffusive transport equations with discontinuous flux ⋮ A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem ⋮ One-scale H-distributions and variants ⋮ Parabolic H-measures ⋮ On the Hörmander-Mihlin theorem for mixed-norm Lebesgue spaces ⋮ Localisation principle for one-scale H-measures ⋮ Distributions of anisotropic order and applications to H-distributions ⋮ \(H\)-distributions on Hörmander spaces ⋮ Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms ⋮ On a generalization of compensated compactness in the \(L^p - L^q\) setting ⋮ \(H\)-distributions with unbounded multipliers ⋮ On compactness of commutators of multiplications and Fourier multipliers ⋮ The structure of \(\mathcal{A}\)-free measures revisited ⋮ Two scale defect measure and linear equations with oscillating coefficients
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