On the weighted estimate of the Bergman projection

Benoît Florent Sehba

doi:10.21136/CMJ.2018.0531-16

On the weighted estimate of the Bergman projection

Benoît Florent Sehba

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	497-511
Number of pages	15
Journal	Czechoslovak Mathematical Journal
Volume	68
Issue number	2
DOIs	https://doi.org/10.21136/CMJ.2018.0531-16
Publication status	Published - 1 Jun 2018

Keywords

30H20
42A61
42C40
47B35
47B38
Bergman space
Békollé-Bonami weight
Toeplitz operator
reproducing kernel

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10.21136/CMJ.2018.0531-16

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title = "On the weighted estimate of the Bergman projection",

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 B{\'e}koll{\'e}-Bonami weights in this setting. An application to bounded Toeplitz products is also given.",

keywords = "30H20, 42A61, 42C40, 47B35, 47B38, Bergman space, B{\'e}koll{\'e}-Bonami weight, Toeplitz operator, reproducing kernel",

author = "Sehba, \{Beno{\^i}t Florent\}",

note = "Publisher Copyright: {\textcopyright} 2018, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.",

year = "2018",

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N2 - 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.

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.

KW - 30H20

KW - 42A61

KW - 42C40

KW - 47B35

KW - 47B38

KW - Bergman space

KW - Békollé-Bonami weight

KW - Toeplitz operator

KW - reproducing kernel

UR - https://www.scopus.com/pages/publications/85042532480

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DO - 10.21136/CMJ.2018.0531-16

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SN - 0011-4642

VL - 68

SP - 497

EP - 511

JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

IS - 2

ER -

On the weighted estimate of the Bergman projection

Abstract

Keywords

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