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Inhomogeneous cancellation conditions and Calderon-Zygmund type operators on h(p)

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Author(s):
Dafni, Galia ; Lau, Chun Ho ; Picon, Tiago ; Vasconcelos, Claudio
Total Authors: 4
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 225, p. 22-pg., 2022-08-26.
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 Calderon-Zygmund operators on these spaces. CrownCopyright (C) 2022 Published by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 18/15484-7 - A priori estimates for elliptic operators and applications
Grantee:Tiago Henrique Picon
Support Opportunities: Research Grants - Young Investigators Grants - Phase 2