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Characterization of Hardy-Sobolev type spaces and applications

Grant number: 21/12655-8
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): January 01, 2022
Effective date (End): April 30, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Tiago Henrique Picon
Grantee:Catarina Barbosa Machado
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated research grant:18/15484-7 - A priori estimates for elliptic operators and applications, AP.JP2


In this project we are interested in the study of Sobolev-Hardy type spaces: pointwise characterization, atomic and molecular decomposition. As application, we intend to obtain some progress on continuity/boundedness (at Sobolev level) of maximal operators, div-curl estimates and pseudodifferential operators on these spaces. (AU)

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