Maximal function and carleson measures in the theory of Békollé–Bonami weights

Carnot D. Kenfack; Benôit F. Sehba

doi:10.4064/cm142-2-4

Maximal function and carleson measures in the theory of Békollé–Bonami weights

Carnot D. Kenfack
, Benôit F. Sehba

Department of Mathematics

Université de Yaoundé I

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

5 Citations (Scopus)

Abstract

Let ω be a Békollé–Bonami weight. We give a complete characterization of the positive measures µ such that (Equation presented) where Mω is the weighted Hardy–Littlewood maximal function on the upper half-plane H and 1 ≤ p, q < ∞.

Original language	English
Pages (from-to)	211-226
Number of pages	16
Journal	Colloquium Mathematicum
Volume	142
Issue number	2
DOIs	https://doi.org/10.4064/cm142-2-4
Publication status	Published - 2016

Keywords

Békollé–Bonami weight
Carleson-type embedding
Dyadic grid
Maximal function
Upper half-plane

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10.4064/cm142-2-4

Cite this

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title = "Maximal function and carleson measures in the theory of B{\'e}koll{\'e}–Bonami weights",

abstract = "Let ω be a B{\'e}koll{\'e}–Bonami weight. We give a complete characterization of the positive measures µ such that (Equation presented) where Mω is the weighted Hardy–Littlewood maximal function on the upper half-plane H and 1 ≤ p, q < ∞.",

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

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T1 - Maximal function and carleson measures in the theory of Békollé–Bonami weights

AU - Kenfack, Carnot D.

AU - Sehba, Benôit F.

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2016.

PY - 2016

Y1 - 2016

N2 - Let ω be a Békollé–Bonami weight. We give a complete characterization of the positive measures µ such that (Equation presented) where Mω is the weighted Hardy–Littlewood maximal function on the upper half-plane H and 1 ≤ p, q < ∞.

AB - Let ω be a Békollé–Bonami weight. We give a complete characterization of the positive measures µ such that (Equation presented) where Mω is the weighted Hardy–Littlewood maximal function on the upper half-plane H and 1 ≤ p, q < ∞.

KW - Békollé–Bonami weight

KW - Carleson-type embedding

KW - Dyadic grid

KW - Maximal function

KW - Upper half-plane

UR - https://www.scopus.com/pages/publications/84956915243

U2 - 10.4064/cm142-2-4

DO - 10.4064/cm142-2-4

M3 - Article

AN - SCOPUS:84956915243

SN - 0010-1354

VL - 142

SP - 211

EP - 226

JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

IS - 2

ER -

Maximal function and carleson measures in the theory of Békollé–Bonami weights

Abstract

Keywords

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