On Hardy spaces associated with certain Schrödinger operators in dimension 2
type: Item
instance of: scholarly article
title: On Hardy spaces associated with certain Schrödinger operators in dimension 2
zbMATH Open document ID: 1364.42027
DOI: 10.4171/RMI/702
author: Jacek Dziubański
author: J. Zienkiewicz
published in: Revista Matemática Iberoamericana
publication date: 2012-11-22T00:00:00Z
review text: Summary: We study the Hardy space \(H^1\) associated with the Schrödinger operator \(L=-\Delta +V\) on \(\mathbb R^2\), where \(V\geq 0\) is a compactly supported non-zero \(C^2\)-potential. We prove that this space, which is originally defined by means of the maximal function associated with the semigroup generated by \(-L\), admits a special atomic decomposition with atoms satisfying a~weighted cancellation condition with a weight of logarithmic growth.
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 6109705
zbMATH Keywords: Hardy spaces
zbMATH Keywords: maximal functions
zbMATH Keywords: Schrödinger operator
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/rmi/702
OpenAlex ID: W2048885135
description: scientific article; zbMATH DE number 6109705