Sobolev inequalities of exponential type

DOI10.1007/BF02784120zbMath0991.46019MaRDI QIDQ5939275

David E. Edmunds, Ritva Hurri-Syrjänen

Publication date: 19 August 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Orlicz spaceHölder spacesSobolev inequalities\(c_0\)-John domaingeometric criteriainequality of double exponential typeirregular boundariesJohn domainquasi-hyperbolic boundary conditionSobolev inequalities of single exponential typeTrudinger embeddingTrudinger inequalityYoung function

Mathematics Subject Classification ID

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

Related Items (13)

Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces ⋮ Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces ⋮ Exponential integrability of Riesz potentials of Orlicz functions ⋮ Trudinger's inequality and continuity of potentials on Musielak-Orlicz-Morrey spaces ⋮ Boundedness of integral operators of double phase ⋮ Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces ⋮ Trudinger's inequality for Riesz potentials of functions in Musielak-Orlicz spaces ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces ⋮ An embedding into an Orlicz space for irregular John domains ⋮ Embeddings into Orlicz spaces for functions from unbounded irregular domains ⋮ Sharp generalized Trudinger inequalities via truncation ⋮ On Trudinger-type Inequalities in Orlicz-Morrey Spaces of an Integral Form ⋮ Vanishing exponential integrability for functions whose gradients belong to \(L^n(\log(e+L))^{\alpha}\)

Cites Work

• Whitney cubes, p-capacity, and Minkowski content
• A sharp inequality of J. Moser for higher order derivatives
• Exponential integrability for Riesz potentials of functions in Orlicz classes
• On embeddings of logarithmic Bessel potential spaces
• Lipschitz classes and quasiconformla mappings
• Sobolev Embeddings for Generalized Ridged Domains
• Elliptic Partial Differential Equations of Second Order
• Injectivity theorems in plane and space
• Weighted Trudinger-type inequalities
• A Generalization of an Inequality of Bhattacharya and Leonetti
• Weighted Poincaré inequalities and Minkowski content
• Sobolev imbedding theorems in borderline cases
• Unions of John domains
• Exponential integrability of the quasi-hyperbolic metric on Hölder domains
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