Geodesic
Optimal Sobolev imbedding spaces
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
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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