Some new scales of weight characterizations of the class \(B_p\)
type: Item
instance of: scholarly article
title: Some new scales of weight characterizations of the class \(B_p\)
zbMATH Open document ID: 1199.26057
published in: Acta Mathematica Hungarica
publication date: 2009-12-29T00:00:00Z
review text: We present an equivalence theorem which includes all known characterizations of the class \(B_p,\) i.e., the weight class of \textit{M. A. Arino} and \textit{B. Muckenhoupt} [Trans. Am. Math. Soc. 320, No.~2, 727--735 (1990; Zbl 0716.42016)], and also some new equivalent characterizations. We also give equivalent characterizations for the classes \(B_p^*\), \(B_{\infty}^*\) and \(RB_p\), and prove and apply a ``gluing lemma'' of independent interest.
reviewed by: Sotiris K. Ntouyas
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 5652028
zbMATH Keywords: inequalities
zbMATH Keywords: Hardy's inequality
zbMATH Keywords: weight
zbMATH Keywords: Stieltjes transformation
zbMATH Keywords: \(B_p\) class
author: Amiran Gogatishvili
author: Alois Kufner
author: Lars-Erik Persson
MaRDI profile type: Publication
full work available at URL: s10474-009-8132-z
OpenAlex ID: W2055193195
cites work: Weighted inequalities for the Stieltjes transformation and Hubert's double series
cites work: Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
cites work: Boundedness of Some Integral Operators
cites work: The Hardy-Littlewood Maximal Function and Weighted Lorentz Spaces
cites work: Q4494514
cites work: An equivalence theorem for integral conditions related to Hardy's inequality
cites work: Q4784073
cites work: Weighted norm inequalities for averaging operators of monotone functions
cites work: Some classical operators on Lorentz space
cites work: Q3997067
cites work: Boundedness of classical operators on classical Lorentz spaces
cites work: Q4397396
DOI: 10.1007/S10474-009-8132-Z
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description: scientific article; zbMATH DE number 5652028