Functional properties of Hardy spaces

• Grant number: 23/07319-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: December 01, 2023
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gustavo Hoepfner
• Grantee: Leonardo de Almeida Carvalho
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis, AP.TEM

Abstract

The goal of this research project is to study topics of Harmonic Analysis, Partial Differential Equations and Functional Analysis.With the main objective of understanding the article \cite{CEMc}, we will study classic Hardy spaces and some recent extensions to non-smooth domains. This study, together with the knowledge acquired by the student during his Undergraduate project in Functional Analysis, will be sufficient tools for a good understanding of the article and constitute a current research topic, providing solid baggage to those who follow this path.