A NOTE ON MUCKENHOUPT WEIGHTS WITH NONSTANDARD GROWTH

Alexandre Almeida; Humberto Rafeiro

A NOTE ON MUCKENHOUPT WEIGHTS WITH NONSTANDARD GROWTH

Alexandre Almeida, Humberto Rafeiro

Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

We provide quantitative results on the inclusion of the family of variable power weights x 7→ |x − ξ|^−γ⁽x⁾ in the Muckenhoupt A1 class, under appropriate conditions on γ. We also present an application related to variable exponent Muckenhoupt classes A_p₍·).

Original language	English
Pages (from-to)	127-130
Number of pages	4
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	177
Issue number	1
Publication status	Published - 2023

Keywords

Muckenhoupt weights
Nonstandard growth
Variable exponents

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "A NOTE ON MUCKENHOUPT WEIGHTS WITH NONSTANDARD GROWTH",

abstract = "We provide quantitative results on the inclusion of the family of variable power weights x 7→ |x − ξ|−γ(x) in the Muckenhoupt A1 class, under appropriate conditions on γ. We also present an application related to variable exponent Muckenhoupt classes Ap(·).",

keywords = "Muckenhoupt weights, Nonstandard growth, Variable exponents",

author = "Alexandre Almeida and Humberto Rafeiro",

year = "2023",

language = "English",

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pages = "127--130",

journal = "Transactions of A. Razmadze Mathematical Institute",

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T1 - A NOTE ON MUCKENHOUPT WEIGHTS WITH NONSTANDARD GROWTH

AU - Almeida, Alexandre

AU - Rafeiro, Humberto

PY - 2023

Y1 - 2023

N2 - We provide quantitative results on the inclusion of the family of variable power weights x 7→ |x − ξ|−γ(x) in the Muckenhoupt A1 class, under appropriate conditions on γ. We also present an application related to variable exponent Muckenhoupt classes Ap(·).

AB - We provide quantitative results on the inclusion of the family of variable power weights x 7→ |x − ξ|−γ(x) in the Muckenhoupt A1 class, under appropriate conditions on γ. We also present an application related to variable exponent Muckenhoupt classes Ap(·).

KW - Muckenhoupt weights

KW - Nonstandard growth

KW - Variable exponents

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M3 - Article

AN - SCOPUS:85161447071

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JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 1

ER -

A NOTE ON MUCKENHOUPT WEIGHTS WITH NONSTANDARD GROWTH

Abstract

Keywords

ASJC Scopus subject areas

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