The Bergman projection on weighted spaces: $L^1$ and Herz spaces
Studia Mathematica, Tome 150 (2002) no. 2, pp. 151-162 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We find necessary and sufficient conditions on radial weights $w$ on the unit disc so that the Bergman type projections of Forelli–Rudin are bounded on $L^{1}(w)$ and in the Herz spaces $K_{p}^{q}(w)$.
DOI : 10.4064/sm150-2-4
Keywords: necessary sufficient conditions radial weights unit disc bergman type projections forelli rudin bounded herz spaces

Oscar Blasco  1   ; Salvador Pérez-Esteva  2

1 Departamento de Matemáticas Universidad de Valencia 46100 Burjassot, Valencia, Spain
2 Instituto de Matemáticas Universidad Nacional Autónoma de México Unidad Cuernavaca A.P. 273-3 ADMON. 3 Cuernavaca, Morelos, 62251 México
@article{10_4064_sm150_2_4,
     author = {Oscar Blasco and Salvador P\'erez-Esteva},
     title = {The {Bergman} projection on weighted spaces:
$L^1$ and {Herz} spaces},
     journal = {Studia Mathematica},
     pages = {151--162},
     year = {2002},
     volume = {150},
     number = {2},
     doi = {10.4064/sm150-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm150-2-4/}
}
TY  - JOUR
AU  - Oscar Blasco
AU  - Salvador Pérez-Esteva
TI  - The Bergman projection on weighted spaces:
$L^1$ and Herz spaces
JO  - Studia Mathematica
PY  - 2002
SP  - 151
EP  - 162
VL  - 150
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm150-2-4/
DO  - 10.4064/sm150-2-4
LA  - en
ID  - 10_4064_sm150_2_4
ER  - 
%0 Journal Article
%A Oscar Blasco
%A Salvador Pérez-Esteva
%T The Bergman projection on weighted spaces:
$L^1$ and Herz spaces
%J Studia Mathematica
%D 2002
%P 151-162
%V 150
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm150-2-4/
%R 10.4064/sm150-2-4
%G en
%F 10_4064_sm150_2_4
Oscar Blasco; Salvador Pérez-Esteva. The Bergman projection on weighted spaces:
$L^1$ and Herz spaces. Studia Mathematica, Tome 150 (2002) no. 2, pp. 151-162. doi: 10.4064/sm150-2-4

Cité par Sources :