A Study of One-Sided Singular Integral and Function Space via Reproducing Formula

Zunwei Fu, Xianming Hou, Ming Yi Lee, Ji Li

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this paper, we systematically establish the theory of one-sided Hardy spaces, including Littlewood–Paley g functions, S-square functions and atomic decomposition. Moreover, we further give the characterizations of one-sided Triebel–Lizorkin spaces and the boundedness for commutators. These results complement the missing components in the one-sided singular integral operator and function space theory studied before.

Original languageEnglish
Article number289
JournalJournal of Geometric Analysis
Volume33
Issue number9
DOIs
StatePublished - Sep 2023

Keywords

  • Atomic decomposition
  • Calderón reproducing formula
  • Commutator
  • One-sided Hardy space
  • One-sided Triebel–Lizorkin space

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