On a polynomial Carleson operator along the paraboloid

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Lillian Pierce, Duke University

Since Carleson’s original work, the study of the Carleson operator has been taken in many directions, including new methods of proof, higher dimensions, and versions called polynomial Carleson operators with polynomial rather than linear phase. This talk will describe joint work with Po-Lam Yung (Chinese University of Hong Kong) in a new direction of enquiry, studying a polynomial Carleson operator along the paraboloid.