AbstractThe Sobolev imbedding theorem and certain interpolation inequalities for Sobolev spaces are established for a wider class of domains than has been covered by earlier proofs. This class is defined by a weakened, measure theoretic version of the cone condition. The proofs are elementary
We survey recent results on limiting imbeddings of Sobolev spaces, particularly, those concerning we...
We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates...
We introduce weak slice conditions and investigate imbeddings of Sobolev spaces in various Lipschitz...
AbstractThe Sobolev imbedding theorem and certain interpolation inequalities for Sobolev spaces are ...
International audienceThe purpose of this note is to discuss how various Sobolev spaces defined on m...
The proof of the embedding theorem for spaces of Sobolev with a mixed norm in the non-investigated e...
We study Sobolev-type embeddings involving rearrangement-invariant norms. In particular, we focus on...
We prove a sharp version of the Sobolev embedding theorem using L(∞,n) spaces and we compare our re...
AbstractWe consider Sobolev's embeddings for spaces based on rearrangement invariant spaces (not nec...
.1. of Inequal. & Appl., 1998, Vol. 2, pp. 325-356 Reprints available directly from the publishe...
Miroslav Krbec ∗ and Hans-Jürgen Schmeisser† We prove dimension-invariant imbedding theorems for So...
AbstractWe establish a connection between the Sobolev imbedding theorem and the extendability of Sob...
Compactness of the boundary removed. Minor corrections, overall presentation improved, appendix adde...
Dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and...
AbstractThe well-known Sobolev embedding theorem is generalized in terms of geometric measure theory...
We survey recent results on limiting imbeddings of Sobolev spaces, particularly, those concerning we...
We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates...
We introduce weak slice conditions and investigate imbeddings of Sobolev spaces in various Lipschitz...
AbstractThe Sobolev imbedding theorem and certain interpolation inequalities for Sobolev spaces are ...
International audienceThe purpose of this note is to discuss how various Sobolev spaces defined on m...
The proof of the embedding theorem for spaces of Sobolev with a mixed norm in the non-investigated e...
We study Sobolev-type embeddings involving rearrangement-invariant norms. In particular, we focus on...
We prove a sharp version of the Sobolev embedding theorem using L(∞,n) spaces and we compare our re...
AbstractWe consider Sobolev's embeddings for spaces based on rearrangement invariant spaces (not nec...
.1. of Inequal. & Appl., 1998, Vol. 2, pp. 325-356 Reprints available directly from the publishe...
Miroslav Krbec ∗ and Hans-Jürgen Schmeisser† We prove dimension-invariant imbedding theorems for So...
AbstractWe establish a connection between the Sobolev imbedding theorem and the extendability of Sob...
Compactness of the boundary removed. Minor corrections, overall presentation improved, appendix adde...
Dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and...
AbstractThe well-known Sobolev embedding theorem is generalized in terms of geometric measure theory...
We survey recent results on limiting imbeddings of Sobolev spaces, particularly, those concerning we...
We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates...
We introduce weak slice conditions and investigate imbeddings of Sobolev spaces in various Lipschitz...
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