Geodesic
Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains
Studia Mathematica, Tome 142 (2000) no. 1, pp. 47-63 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

General Besov and Triebel-Lizorkin spaces on domains with irregular boundary are compared with the completion, in those spaces, of the subset of infinitely continuously differentiable functions with compact support in the same domains. It turns out that the set of parameters for which those spaces coincide is strongly related to the fractal dimension of the boundary of the domains. 
@article{10_4064_sm_142_1_47_63,
     author = {Ant\'onio Caetano},
     title = {Approximation by functions of compact support in {Besov-Triebel-Lizorkin} spaces on irregular domains},
     journal = {Studia Mathematica},
     pages = {47--63},
     year = {2000},
     volume = {142},
     number = {1},
     doi = {10.4064/sm-142-1-47-63},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-142-1-47-63/}
}
TY  - JOUR
AU  - António Caetano
TI  - Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains
JO  - Studia Mathematica
PY  - 2000
SP  - 47
EP  - 63
VL  - 142
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-142-1-47-63/
DO  - 10.4064/sm-142-1-47-63
LA  - en
ID  - 10_4064_sm_142_1_47_63
ER  - 
%0 Journal Article
%A António Caetano
%T Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains
%J Studia Mathematica
%D 2000
%P 47-63
%V 142
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-142-1-47-63/
%R 10.4064/sm-142-1-47-63
%G en
%F 10_4064_sm_142_1_47_63
António Caetano. Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. Studia Mathematica, Tome 142 (2000) no. 1, pp. 47-63. doi: 10.4064/sm-142-1-47-63

Cité par Sources :