On the weighted estimate of the Bergman projection

Benoît Florent Sehba

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 2, page 497-511
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Sehba, Benoît Florent. "On the weighted estimate of the Bergman projection." Czechoslovak Mathematical Journal 68.2 (2018): 497-511. <http://eudml.org/doc/294452>.

@article{Sehba2018,
abstract = {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.},
author = {Sehba, Benoît Florent},
journal = {Czechoslovak Mathematical Journal},
keywords = {Bergman space; reproducing kernel; Toeplitz operator; Békollé-Bonami weight},
language = {eng},
number = {2},
pages = {497-511},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the weighted estimate of the Bergman projection},
url = {http://eudml.org/doc/294452},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Sehba, Benoît Florent
TI - On the weighted estimate of the Bergman projection
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 2
SP - 497
EP - 511
AB - 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.
LA - eng
KW - Bergman space; reproducing kernel; Toeplitz operator; Békollé-Bonami weight
UR - http://eudml.org/doc/294452
ER -

References

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