Hardy spaces for Bessel–Schrödinger operators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Feb 2018Embargo end date: 01 Mar 2016 English Publisher:WileyJournal:Mathematische Nachrichten, volume 291, pages 908-927 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Kania, Edyta; Preisner, Marcin;

doi: 10.1002/mana.201600286 , 10.48550/arxiv.1603.07685

arXiv: 1603.07685

Hardy spaces for Bessel–Schrödinger operators

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Abstract

AbstractConsider the Bessel operator with a potential on , namely urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0002We assume that and is a nonnegative function. By definition, a function belongs to the Hardy space if urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0007Under certain assumptions on V we characterize the space in terms of atomic decompositions of local type. In the second part we prove that this characterization can be applied to for with no additional assumptions on the potential V.

Related Organizations

University of Wrocław
Poland

Keywords

Schrödinger operator, Maximal functions, Littlewood-Paley theory, Bessel operator, 42B30, 42B25, 35J10 (Primary), 47D03, 43A85 (Secondary), Hardy space, \(H^p\)-spaces, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Schrödinger operator, Schrödinger equation, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, atomic decomposition, Analysis of PDEs (math.AP)

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