CORDIS Project
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This project investigates the Cauchy integral operator, extending its study beyond Lipschitz paths to include rougher paths using time-frequency analysis. The goal is to establish the boundedness of this operator in specific Lebesgue spaces, which will enhance understanding of removable sets for bounded analytic functi…
The Cauchy integral operator is the prototype example of a singular integral operator in the complex variable settingand the fundamental object to be understood in the problem of characterization of removable sets for bounded analytic functions.
By many different reasons, the study of this operator has always been confined to the setting of Lipschitz paths.However, recent developments in a relatively new technique called time-frequence analysis suggests that the theory may be extended to more g…
UNIVERSITAT AUTONOMA DE BARCELONA
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