Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators

Benoît F. Sehba

doi:10.1007/s11117-020-00749-7

Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators

Benoît F. Sehba

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We obtain Sawyer-type estimates for a family of Bergman-type operators. Combining these results with some off-diagonal extrapolation results, we derive sharp weighted bounds for these operators.

Original language	English
Pages (from-to)	49-71
Number of pages	23
Journal	Positivity
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s11117-020-00749-7
Publication status	Published - Feb 2021

Keywords

Bergman operator
Békollé–Bonami weight
Dyadic grid
Maximal function
Upper-half plane

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10.1007/s11117-020-00749-7

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title = "Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators",

abstract = "We obtain Sawyer-type estimates for a family of Bergman-type operators. Combining these results with some off-diagonal extrapolation results, we derive sharp weighted bounds for these operators.",

keywords = "Bergman operator, B{\'e}koll{\'e}–Bonami weight, Dyadic grid, Maximal function, Upper-half plane",

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

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year = "2021",

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doi = "10.1007/s11117-020-00749-7",

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AB - We obtain Sawyer-type estimates for a family of Bergman-type operators. Combining these results with some off-diagonal extrapolation results, we derive sharp weighted bounds for these operators.

KW - Bergman operator

KW - Békollé–Bonami weight

KW - Dyadic grid

KW - Maximal function

KW - Upper-half plane

UR - https://www.scopus.com/pages/publications/85083106695

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DO - 10.1007/s11117-020-00749-7

M3 - Article

AN - SCOPUS:85083106695

SN - 1385-1292

VL - 25

SP - 49

EP - 71

JO - Positivity

JF - Positivity

IS - 1

ER -

Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators

Abstract

Keywords

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