Geodesic
Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ℂ n
Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1305-1327
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We study Hardy, Bergman, Bloch, and BMO spaces on convex domains of finite type in n-dimensional complex space. Duals of these spaces are computed. The essential features of complex domains of finite type, that make these theorems possible, are isolated.

Nous étudions les espaces de Hardy, Bergman, Bloch et BMO pour des domaines convexes de type fini dans ℂ n . Nous calculons les duaux de ces espaces et nous mettons en lumière les propriétés essentielles des domaines complexes de type fini, qui rendent ces théorèmes possibles.

@article{AIF_1995__45_5_1305_0,
     author = {Krantz, Steven G. and Li, Song-Ying},
     title = {Duality theorems for {Hardy} and {Bergman} spaces on convex domains of finite type in ${\mathbb {C}}^n$},
     journal = {Annales de l'Institut Fourier},
     pages = {1305--1327},
     year = {1995},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {45},
     number = {5},
     doi = {10.5802/aif.1497},
     mrnumber = {96m:32002},
     zbl = {0835.32004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.1497/}
}
TY  - JOUR
AU  - Krantz, Steven G.
AU  - Li, Song-Ying
TI  - Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ${\mathbb {C}}^n$
JO  - Annales de l'Institut Fourier
PY  - 1995
SP  - 1305
EP  - 1327
VL  - 45
IS  - 5
PB  - Association des Annales de l’institut Fourier
UR  - http://geodesic.mathdoc.fr/articles/10.5802/aif.1497/
DO  - 10.5802/aif.1497
LA  - en
ID  - AIF_1995__45_5_1305_0
ER  - 
%0 Journal Article
%A Krantz, Steven G.
%A Li, Song-Ying
%T Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ${\mathbb {C}}^n$
%J Annales de l'Institut Fourier
%D 1995
%P 1305-1327
%V 45
%N 5
%I Association des Annales de l’institut Fourier
%U http://geodesic.mathdoc.fr/articles/10.5802/aif.1497/
%R 10.5802/aif.1497
%G en
%F AIF_1995__45_5_1305_0
Krantz, Steven G.; Li, Song-Ying. Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ${\mathbb {C}}^n$. Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1305-1327. doi: 10.5802/aif.1497

Cité par Sources :