Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type

DOI10.1016/S0022-247X(03)00110-0zbMath1031.46039OpenAlexW2037124370MaRDI QIDQ1399380

Andrea Cianchi, Luboš Pick

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00110-0

zbMATH Keywords

embeddingsHölder spacesrearrangement-invariant spacesMorrey spacesoptimal domainSobolevGeneralized Campanato spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (18)

Characterization of associate spaces of weighted Lorentz spaces with applications ⋮ Optimality problems in Orlicz spaces ⋮ Sobolev embeddings in grand Morrey spaces ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Gradient continuity for \(p(x)\)-Laplacian systems under minimal conditions on the exponent ⋮ Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization ⋮ Sobolev–Lorentz capacity and its regularity in the Euclidean setting ⋮ Sobolev-Lorentz spaces in the Euclidean setting and counterexamples ⋮ Irregular obstacle problems for Orlicz double phase ⋮ Balls minimize trace constants in BV ⋮ Morrey-Campanato Spaces: an Overview ⋮ Continuity properties of solutions to the \(p\)-Laplace system ⋮ Variable exponent Morrey and Campanato spaces ⋮ Reduction theorems for Sobolev embeddings into the spaces of Hölder, Morrey and Campanato type ⋮ Critical 𝐿^{𝑝}-differentiability of 𝐵𝑉^{}𝔸-maps and canceling operators ⋮ Integral operators on BMO and Campanato spaces ⋮ Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness ⋮ Anisotropic variable Campanato-type spaces and their Carleson measure characterizations

Cites Work

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• On the restriction of functions of bounded mean oscillation to the lower dimensional space
• On functions with conditions on the mean oscillation
• Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
• Change of variables for absolutely continuous functions

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