Area functions on Hardy spaces associated to Schrödinger operators
type: Item
instance of: scholarly article
title: Area functions on Hardy spaces associated to Schrödinger operators
zbMATH Open document ID: 1047.42017
DOI: 10.1016/S0252-9602(17)30496-4
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2003-01-01T00:00:00Z
review text: Let \(L\) be a Schrödinger operator on \({\mathbb R}^d\) which has the form \[ L=-\Delta+V, \] where \(\Delta\) is the Laplace operator, \(V(x)=\sum_{\beta\leq\alpha}a_\beta x^\beta\) is a nonnegative nonzero polynomial on \({\mathbb R}^d\) and \(\alpha\in {\mathbb N}^d\). In this paper, the author establishes a characterization of atomic Hardy spaces \(H^1_L\) by using area functions, and presents their dual spaces.
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 2029335
zbMATH Keywords: square function
zbMATH Keywords: area function
zbMATH Keywords: Hardy space
zbMATH Keywords: Schrödinger operator
author: Yueping Zhu
reviewed by: Dachun Yang
MaRDI profile type: Publication
full work available at URL: s0252-9602(17)30496-4
OpenAlex ID: W2211966957
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description: scientific article; zbMATH DE number 2029335