CORDIS Project
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This project aims to advance the understanding of maximal operators in mathematics by combining geometric techniques with existing methods. It seeks to resolve longstanding questions regarding the behavior of these operators in various dimensions.
In 1997 Juha Kinnunen proved that maximal operators satisfy a Sobolev bound if the Sobolev exponent p is strictly larger than 1.
His article initiated the study of regularity of maximal functions, a field which has attracted several dozens of authors to this day.
Geometric techniques have recently lead to a series of breakthrough endpoint regularity bounds for maximal operators in higher dimensions.
This project pursues the novel strategy of combining these new geometric tools with already estab…
ORGANISATION DES NATIONS UNIES POUR L'EDUCATION LA SCIENCE ET LA CULTURE - UNESCO
UNITED NATIONS EDUCATIONAL SCIENTIFIC AND CULTURAL ORGANIZATION
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