Inhomogeneous cancellation conditions and Calderón–Zygmund type operators on hp. (December 2022)

• Record Type: Journal Article
• Authors: Dafni, Galia; Lau, Chun Ho; Picon, Tiago; Vasconcelos, Claudio
• Is Part Of: Nonlinear analysis. Volume 225(2022)
• Publication Date: 2022-12
• Subjects: 42B30 -- 42B20 -- 35S05; Hardy spaces -- Molecules -- Moment conditions -- Hardy's inequality -- Inhomogeneous Calderón–Zygmund operators -- Pseudodifferential operators; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2022.113110
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this work we present a new approach to molecules on Goldberg's local Hardy spaces h p ( R n ), 0 < p ≤ 1, assuming an appropriate cancellation condition. As applications, we prove a version of Hardy's inequality and improved continuity results for inhomogeneous Calderón–Zygmund operators on these spaces.