Maximal Functions and Measures on the Upper-Half Plane

B. F. Sehba

doi:10.1007/s10476-018-0408-5

Maximal Functions and Measures on the Upper-Half Plane

B. F. Sehba

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We study weighted boundedness of Hardy–Littlewood-type maximal function involving Orlicz functions. We also obtain some sufficient conditions for the weighted boundedness of the Hardy–Littlewood maximal function of the upper-half plane.

Original language	English
Pages (from-to)	177-199
Number of pages	23
Journal	Analysis Mathematica
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/s10476-018-0408-5
Publication status	Published - 1 Mar 2019

Keywords

Békollè–Bonami weight
Carleson-type embedding
dyadic grid
maximal function
upper-half plane

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10.1007/s10476-018-0408-5

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title = "Maximal Functions and Measures on the Upper-Half Plane",

abstract = "We study weighted boundedness of Hardy–Littlewood-type maximal function involving Orlicz functions. We also obtain some sufficient conditions for the weighted boundedness of the Hardy–Littlewood maximal function of the upper-half plane.",

keywords = "B{\'e}koll{\`e}–Bonami weight, Carleson-type embedding, dyadic grid, maximal function, upper-half plane",

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AB - We study weighted boundedness of Hardy–Littlewood-type maximal function involving Orlicz functions. We also obtain some sufficient conditions for the weighted boundedness of the Hardy–Littlewood maximal function of the upper-half plane.

KW - Békollè–Bonami weight

KW - Carleson-type embedding

KW - dyadic grid

KW - maximal function

KW - upper-half plane

UR - https://www.scopus.com/pages/publications/85051788864

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DO - 10.1007/s10476-018-0408-5

M3 - Article

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SN - 0133-3852

VL - 45

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EP - 199

JO - Analysis Mathematica

JF - Analysis Mathematica

IS - 1

ER -

Maximal Functions and Measures on the Upper-Half Plane

Abstract

Keywords

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