Geodesic
On the weighted estimate of the Bergman projection
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 497-511 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We present a proof of the weighted estimate of the Bergman projection that does not use extrapolation results. This estimate is extended to product domains using an adapted definition of Békollé-Bonami weights in this setting. An application to bounded Toeplitz products is also given.
We present a proof of the weighted estimate of the Bergman projection that does not use extrapolation results. This estimate is extended to product domains using an adapted definition of Békollé-Bonami weights in this setting. An application to bounded Toeplitz products is also given.
DOI : 10.21136/CMJ.2018.0531-16
Classification : 30H20, 42A61, 42C40, 47B35, 47B38
Keywords: Bergman space; reproducing kernel; Toeplitz operator; Békollé-Bonami weight 
@article{10_21136_CMJ_2018_0531_16,
     author = {Sehba, Beno{\^\i}t Florent},
     title = {On the weighted estimate of the {Bergman} projection},
     journal = {Czechoslovak Mathematical Journal},
     pages = {497--511},
     year = {2018},
     volume = {68},
     number = {2},
     doi = {10.21136/CMJ.2018.0531-16},
     mrnumber = {3819187},
     zbl = {06890386},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0531-16/}
}
TY  - JOUR
AU  - Sehba, Benoît Florent
TI  - On the weighted estimate of the Bergman projection
JO  - Czechoslovak Mathematical Journal
PY  - 2018
SP  - 497
EP  - 511
VL  - 68
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0531-16/
DO  - 10.21136/CMJ.2018.0531-16
LA  - en
ID  - 10_21136_CMJ_2018_0531_16
ER  - 
%0 Journal Article
%A Sehba, Benoît Florent
%T On the weighted estimate of the Bergman projection
%J Czechoslovak Mathematical Journal
%D 2018
%P 497-511
%V 68
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0531-16/
%R 10.21136/CMJ.2018.0531-16
%G en
%F 10_21136_CMJ_2018_0531_16
Sehba, Benoît Florent. On the weighted estimate of the Bergman projection. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 2, pp. 497-511. doi: 10.21136/CMJ.2018.0531-16

Cité par Sources :