Boundedness of strongly singular Calderón-Zygmund for Hardy spaces
Higher-order elliptic and canceling operators and new advances in Hardy spaces
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Boundedness of strongly singular Calderón-Zygmund operators in Hardy spaces
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| Author(s): |
Pablo Andre Ramirez Liza
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Ribeirão Preto. |
| Institution: | Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (PCARP/BC) |
| Defense date: | 2024-03-27 |
| Examining board members: |
Tiago Henrique Picon;
Rafael Augusto dos Santos Kapp;
Pedro Tavares Paes Lopes
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| Advisor: | Tiago Henrique Picon |
| Abstract | |
In this dissertation, we will study the boundedness of strongly singular Calderón-Zygmund operators of type σ in Hardy spaces Hp (Rn) introduced by J. Alvarez & M. Milman based on the paper entitled \"A note on Hardy continuity properties of strongly singular Calderón-Zygmund-type operators\" due to C. Vasconcelos & T. Picon [28]. A study on Hardy and BMO spaces in the euclidian space Rn including maximum characterizations, atomic decomposition and duality is also presented. (AU) | |
| FAPESP's process: | 22/00874-0 - Boundedness of strongly singular Calderón-Zygmund for Hardy spaces |
| Grantee: | Pablo Andre Ramirez Liza |
| Support Opportunities: | Scholarships in Brazil - Master |