Integral operators on the halfspace in generalized Lebesgue spaces \(L^{p(\cdot)}\). I, II

DOI10.1016/j.jmaa.2004.05.048zbMath1128.47044OpenAlexW4206665446MaRDI QIDQ1883439

Lars Diening, Michael Ružička

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.048

zbMATH Keywords

singular integral operatorCalderón-Zygmund theoremgeneralized Lebesgue spaces \(L^ {p(\cdot)}\)

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Magnetohydrodynamics and electrohydrodynamics (76W05) Integral operators (47G10)

Related Items

Integral operators on the halfspace in generalized Lebesgue spaces \(L^{p(\cdot)}\). I, II, Boundary regularity estimates in Hölder spaces with variable exponent, Modeling, mathematical and numerical analysis of electrorheological fluids., Hölder regularity of the gradient for the non-homogeneous parabolicp(x,t)-Laplacian equations, Unnamed Item, Existence of local strong solutions for motions of electrorheological fluids in three dimensions, Maximal operator on variable Lebesgue spaces for almost monotone radial exponent, Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations, The Stokes and Poisson problem in variable exponent spaces, Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces, Weighted gradient estimates for the general elliptic \(p(x)\)-Laplacian equations

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