Some estimates for maximal functions on Köthe functions spaces
type: Item
instance of: scholarly article
title: Some estimates for maximal functions on Köthe functions spaces
zbMATH Open document ID: 0830.42010
DOI: 10.1007/BF02783220
author: José Luis Torrea
author: E. Harboure
author: Roberto A. Macías
author: Carlos Segovia
published in: Israel Journal of Mathematics
publication date: 1995-08-14T00:00:00Z
review text: A Köthe function space is a Banach space \(X\) consisting of (equivalence classes) of measurable locally integrable functions on a \(\sigma\)-finite measure space satisfying the following two conditions: (i) If \(f\) and \(g\) are measurable, \(g\in X\), \(|f(x)|\leq |g(x)|\) almost everywhere then \(f\in X\). (ii) The characteristic functions of sets with finite measure belong to \(X\). The authors study two-weight inequalities for the Hardy-Littlewood maximal operator acting on \(X\)-valued functions. The case of sequence spaces is emphasized.
reviewed by: Andreas Seeger
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 784925
zbMATH Keywords: Köthe function space
zbMATH Keywords: two-weight inequalities
zbMATH Keywords: Hardy-Littlewood maximal operator
MaRDI profile type: Publication
cites work: Extension of a result of Benedek, Calderón and Panzone
cites work: Vector-valued inequalities with weights
cites work: The Hardy-Littlewood property of Banach lattices
cites work: Q3700300
cites work: On weighted norm inequalities for the maximal function
cites work: Q4188284
cites work: Weighted Norm Inequalities for the Hardy Maximal Function
cites work: Q3952602
cites work: Q4722940
cites work: A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
cites work: Weighted Norm Inequalities for the Hardy-Littlewood Maximal Function
full work available at URL: https://doi.org/10.1007/bf02783220
OpenAlex ID: W2041238253
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description: scientific article; zbMATH DE number 784925