Add to ORKGCommunicated by H. Brezis. ABSTRACT. Generalizations of Trudinger's and Br•zis-Wainger's limiting imbedding theorems are proved and their connections are studied. 1. Introduction. Much attention has been paid to various generalizations of Trudinger's celebrated limiting imbedding theorem [22] to fractional order spaces H•N/p and other interesting refinements ([1], [12], [16], [20],...) and, recently, also to Orlicz-Sobolev spaces close to H • in [9]. As is well known, a functio
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
AbstractWe establish a connection between the Sobolev imbedding theorem and the extendability of Sob...
We obtain an improved Sobolev inequality in $H^s$ spaces involving Morrey norms. This refinement yie...
We survey recent results on limiting imbeddings of Sobolev spaces, particularly, those concerning we...
We consider fractional Sobolev spaces with dominating mixed derivatives and prove generalizations of...
We consider fractional Sobolev spaces with dominating mixed derivatives and prove some generalizatio...
AbstractThe article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic b...
AbstractWe prove a refined limiting imbedding theorem of the Brézis–Wainger type in the first critic...
AbstractThe Orlicz space analog of the Sobolev imbedding theorem established for bounded domains by ...
We consider the imbedding inequality || f ||_{L^r} <= S_{r,n,d} || f ||_{H^{n}}; H^{n}(R^d) is the...
The subject of this thesis is the fractional order Sobolev space, H[superscript]r[subscript]p, as co...
The subject of this thesis is the fractional order Sobolev space, H[superscript]r[subscript]p, as co...
This thesis focuses on some Trudinger-Moser type inequalities and their applications to the study of...
We prove a sharp version of the Sobolev embedding theorem using L(∞,n) spaces and we compare our re...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
AbstractWe establish a connection between the Sobolev imbedding theorem and the extendability of Sob...
We obtain an improved Sobolev inequality in $H^s$ spaces involving Morrey norms. This refinement yie...
We survey recent results on limiting imbeddings of Sobolev spaces, particularly, those concerning we...
We consider fractional Sobolev spaces with dominating mixed derivatives and prove generalizations of...
We consider fractional Sobolev spaces with dominating mixed derivatives and prove some generalizatio...
AbstractThe article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic b...
AbstractWe prove a refined limiting imbedding theorem of the Brézis–Wainger type in the first critic...
AbstractThe Orlicz space analog of the Sobolev imbedding theorem established for bounded domains by ...
We consider the imbedding inequality || f ||_{L^r} <= S_{r,n,d} || f ||_{H^{n}}; H^{n}(R^d) is the...
The subject of this thesis is the fractional order Sobolev space, H[superscript]r[subscript]p, as co...
The subject of this thesis is the fractional order Sobolev space, H[superscript]r[subscript]p, as co...
This thesis focuses on some Trudinger-Moser type inequalities and their applications to the study of...
We prove a sharp version of the Sobolev embedding theorem using L(∞,n) spaces and we compare our re...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
AbstractWe establish a connection between the Sobolev imbedding theorem and the extendability of Sob...
We obtain an improved Sobolev inequality in $H^s$ spaces involving Morrey norms. This refinement yie...