Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)

From MaRDI portal
Publication:1428357

DOI10.1007/BF02384772zbMath1035.46502OpenAlexW2086335871MaRDI QIDQ1428357

Andrea Cianchi, Luboš Pick

Publication date: 28 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384772



Related Items

General pointwise relations for the relative rearrangement and applications, Minimal rearrangements of Sobolev functions: A new proof., Compactness of Sobolev-type embeddings with measures, On the continuity of weakly monotone functions, Regularity results for weak solutions of elliptic PDEs below the natural exponent, Capacity and the quasicentral modulus, Decay for travelling waves in the Gross-Pitaevskii equation, Symmetrization in Anisotropic Elliptic Problems, Interpolation between Hölder and Lebesgue spaces with applications, Variable exponents and grand Lebesgue spaces: Some optimal results, ON SHARP HIGHER ORDER SOBOLEV EMBEDDINGS, Sharp Sobolev type embeddings on the entire Euclidean space, Fractional maximal operator in Orlicz spaces, Optimality problems in Orlicz spaces, Polar factorization and pseudo-rearrangements: applications to Pólya-Szegö type inequalities, Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces, Sobolev type inequalities for rearrangement invariant spaces, Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type, On the modulus of continuity of solutions to the \(n\)-Laplace equation, Compactness for Sobolev-type trace operators, Sobolev embedding into BMO and weak-\(L^\infty\) for \(1\)-dimensional probability measure, Homogenization of elliptic systems with stratified structure revisited, Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms, Global boundedness of the gradient for a class of nonlinear elliptic systems, 𝐁𝐌𝐎 on shapes and sharp constants, Sobolev–Lorentz capacity and its regularity in the Euclidean setting, The cone of rearrangements for generalized Bessel potentials, Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms, On generalized Moser-Trudinger inequalities without boundary condition, Gradient estimates via rearrangements for solutions of some Schrödinger equations, Global boundedness of the gradient for a class of Schrödinger equations, Sobolev-Lorentz spaces in the Euclidean setting and counterexamples, An optimal endpoint trace embedding, \(p\)-harmonic functions in \(\mathbb{R}^N_+\) with nonlinear Neumann boundary conditions and measure data, Sobolev embeddings, rearrangement-invariant spaces and Frostman measures, Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces, Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks, Equivalent and attained version of Hardy's inequality in \(\mathbb{R}^n\), Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space, Embeddings of homogeneous Sobolev spaces on the entire space, Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities, Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement, Maximal non-compactness of Sobolev embeddings, Sobolev embeddings in Orlicz and Lorentz spaces with measures, Optimal Sobolev trace embeddings, Reduction theorems for Sobolev embeddings into the spaces of Hölder, Morrey and Campanato type, Gradient potential estimates in non-linear elliptic obstacle problems with measure data, Optimal domain spaces in Orlicz-Sobolev embeddings, Strict s-numbers of non-compact Sobolev embeddings into continuous functions, Critical 𝐿^{𝑝}-differentiability of 𝐵𝑉^{}𝔸-maps and canceling operators, Banach algebras of weakly differentiable functions, Compactness properties of Sobolev imbeddings for rearrangement invariant norms, Higher-order Sobolev and Poincaré inequalities in Orlicz spaces, Second-order derivatives and rearrangements, A Sharp Version of the Hörmander Multiplier Theorem, Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics, Small Lebesgue spaces and their applications, Global gradient estimates in elliptic problems under minimal data and domain regularity, Higher‐order Sobolev‐type embeddings on Carnot–Carathéodory spaces, Limit at infinity for travelling waves in the Gross-Pitaevskii equation.



Cites Work