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 language | English |
|---|---|
| Article number | 289 |
| Pages (from-to) | 1-34 |
| Number of pages | 34 |
| Journal | Journal of Geometric Analysis |
| Volume | 33 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 2023 |
Keywords
- Atomic decomposition
- Calderón reproducing formula
- Commutator
- One-sided Hardy space
- One-sided Triebel–Lizorkin space
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Dive into the research topics of 'A Study of one-sided singular integral and function space via reproducing formula'. Together they form a unique fingerprint.Projects
- 1 Finished
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DP22: Harmonic analysis of Laplacians in curved spaces
Li, J. (Primary Chief Investigator), Bui, T. (Chief Investigator), Duong, X. (Chief Investigator), Cowling, M. (Chief Investigator), Ottazzi, A. (Chief Investigator) & Wick, B. (Partner Investigator)
26/04/22 → 25/04/25
Project: Research
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