Geodesic
Optimal Sobolev imbedding spaces
Ron Kerman1 ; Luboš Pick2
1Department of Mathematics Brock University 500 Glenridge Avenue St. Catharines Ontario, Canada L2S 3A1
2Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Sokolovská 83 186 75 Praha 8, Czech Republic
Studia Mathematica, Tome 192 (2009) no. 3, pp. 195-217
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper continues our study of Sobolev-type imbedding inequalities involving rearrangement-invariant Banach function norms. In it we characterize when the norms considered are optimal. Explicit expressions are given for the optimal partners corresponding to a given domain or range norm.
DOI : 10.4064/sm192-3-1
Keywords: paper continues study sobolev type imbedding inequalities involving rearrangement invariant banach function norms characterize norms considered optimal explicit expressions given optimal partners corresponding given domain range norm

Ron Kerman  1   ; Luboš Pick  2

1 Department of Mathematics Brock University 500 Glenridge Avenue St. Catharines Ontario, Canada L2S 3A1
2 Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Sokolovská 83 186 75 Praha 8, Czech Republic 
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Ron Kerman; Luboš Pick. Optimal Sobolev imbedding spaces. Studia Mathematica, Tome 192 (2009) no. 3, pp. 195-217. doi: 10.4064/sm192-3-1

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