Geodesic
Sobolev-type spaces from generalized Poincaré inequalities
Toni Heikkinen1 ; Pekka Koskela1 ; Heli Tuominen1
1Department of Mathematics and Statistics P.O. Box 35 FI-40014 University of Jyväskylä, Finland
Studia Mathematica, Tome 181 (2007) no. 1, pp. 1-16
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
DOI : 10.4064/sm181-1-1
Keywords: define sobolev space means generalized poincar inequality relate corresponding space based upper gradients

Toni Heikkinen  1   ; Pekka Koskela  1   ; Heli Tuominen  1

1 Department of Mathematics and Statistics P.O. Box 35 FI-40014 University of Jyväskylä, Finland 
@article{10_4064_sm181_1_1,
     author = {Toni Heikkinen and Pekka Koskela and Heli Tuominen},
     title = {Sobolev-type spaces from generalized {Poincar\'e} inequalities},
     journal = {Studia Mathematica},
     pages = {1--16},
     year = {2007},
     volume = {181},
     number = {1},
     doi = {10.4064/sm181-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm181-1-1/}
}
TY  - JOUR
AU  - Toni Heikkinen
AU  - Pekka Koskela
AU  - Heli Tuominen
TI  - Sobolev-type spaces from generalized Poincaré inequalities
JO  - Studia Mathematica
PY  - 2007
SP  - 1
EP  - 16
VL  - 181
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm181-1-1/
DO  - 10.4064/sm181-1-1
LA  - en
ID  - 10_4064_sm181_1_1
ER  - 
%0 Journal Article
%A Toni Heikkinen
%A Pekka Koskela
%A Heli Tuominen
%T Sobolev-type spaces from generalized Poincaré inequalities
%J Studia Mathematica
%D 2007
%P 1-16
%V 181
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm181-1-1/
%R 10.4064/sm181-1-1
%G en
%F 10_4064_sm181_1_1
Toni Heikkinen; Pekka Koskela; Heli Tuominen. Sobolev-type spaces from generalized Poincaré inequalities. Studia Mathematica, Tome 181 (2007) no. 1, pp. 1-16. doi: 10.4064/sm181-1-1

Cité par Sources :