A unified approach to Carleson measures and \(A_ p\) weights. II
type: Item
instance of: scholarly article
title: A unified approach to Carleson measures and \(A_ p\) weights. II
zbMATH Open document ID: 0644.42016
author: B. George
published in: Pacific Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: We find for each p, \(1<p<\infty\), a necessary and sufficient condition on the pair (\(\mu\),\(\nu)\) (where \(\mu\) is a measure on \({\mathbb{R}}_+^{n+1}={\mathbb{R}}^ n\times [0,\infty)\), and \(\nu\) a weight on \({\mathbb{R}}^ n)\) for the Poisson integral to be a bounded operator from \(L^ p({\mathbb{R}}^ n,\nu (x)dx)\) into \(L^ p({\mathbb{R}}_+^{n+1},\mu).\) [For part I see ibid. (to appear).]
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 4050228
zbMATH Keywords: maximal operator
zbMATH Keywords: Carleson condition
zbMATH Keywords: weight
zbMATH Keywords: Poisson integral
zbMATH Keywords: bounded operator
MaRDI profile type: Publication
full work available at URL: pjm.1985.120.189
OpenAlex ID: W4249371217
DOI: 10.2140/PJM.1985.120.189
description: scientific article; zbMATH DE number 4050228