A local version of Rubio de Francia's extrapolation theorem
type: Item
instance of: scholarly article
title: A local version of Rubio de Francia's extrapolation theorem
zbMATH Open document ID: 0920.47030
published in: Ricerche di Matematica
publication date: 1999-09-16T00:00:00Z
review text: The author studies operators on weighted \(L^p\) spaces of the form \(L^p(\mathbb{R}^n,wdx)\) where \(w\) is a given weight function. Drawing on some results due to \textit{J. Alvarez}, \textit{R. J. Bagby}, \textit{D. S. Kurtz} and \textit{C. Pérez} [Stud. Math. 104, No. 2, 195-209 (1993; Zbl 0809.42006)], she shows that if an operator \(T\) is bounded on \(L^p(\mathbb{R}^n, wdx)\) for a certain family of weight functions \(w\), then \(T\) is bounded on \(L^r(\mathbb{R}^n, dx)\) for a certain range of exponents \(r\) which contains \(p\).
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 46B99
zbMATH DE Number: 1257424
zbMATH Keywords: operators on weighted \(L^p\) spaces
author: Antonia Passarelli Di Napoli
reviewed by: Ludvík Janoš
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1257424