Weighted estimates for operators associated to the Bergman-Besov kernels

David Békollè; Adriel R. Keumo; Edgar L. Tchoundja; Brett D. Wick

doi:10.21494/ISTE.OP.2022.0838

Weighted estimates for operators associated to the Bergman-Besov kernels

David Békollè
, Adriel R. Keumo
, Edgar L. Tchoundja
, Brett D. Wick

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

1 Scopus citations

Abstract

We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two weighted Lebesgue classes on the unit ball of CN in terms of Békollè - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by Békollè.

Original language	English
Pages (from-to)	9-52
Number of pages	44
Journal	Advances in Pure and Applied Mathematics
Volume	13
Issue number	3
DOIs	https://doi.org/10.21494/ISTE.OP.2022.0838
State	Published - Jun 1 2022

Keywords

Bergman-Besov projection
Bergman-Besov space
weighted inequalities

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abstract = "We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two weighted Lebesgue classes on the unit ball of CN in terms of B{\'e}koll{\`e} - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by B{\'e}koll{\`e}.",

keywords = "Bergman-Besov projection, Bergman-Besov space, weighted inequalities",

author = "David B{\'e}koll{\`e} and Keumo, \{Adriel R.\} and Tchoundja, \{Edgar L.\} and Wick, \{Brett D.\}",

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AU - Békollè, David

AU - Keumo, Adriel R.

AU - Tchoundja, Edgar L.

AU - Wick, Brett D.

PY - 2022/6/1

Y1 - 2022/6/1

N2 - We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two weighted Lebesgue classes on the unit ball of CN in terms of Békollè - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by Békollè.

AB - We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two weighted Lebesgue classes on the unit ball of CN in terms of Békollè - Bonami type condition on the weights. To accomplish this we employ the proof strategy originated by Békollè.

KW - Bergman-Besov projection

KW - Bergman-Besov space

KW - weighted inequalities

UR - https://www.scopus.com/pages/publications/85132798749

U2 - 10.21494/ISTE.OP.2022.0838

DO - 10.21494/ISTE.OP.2022.0838

M3 - Article

AN - SCOPUS:85132798749

SN - 1867-1152

VL - 13

SP - 9

EP - 52

JO - Advances in Pure and Applied Mathematics

JF - Advances in Pure and Applied Mathematics

IS - 3

ER -

Weighted estimates for operators associated to the Bergman-Besov kernels

Abstract

Keywords

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