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A Carleson operator of Radon type

PDE and Applied Math Seminar

Speaker: Po Lam Yung, The Chinese University of Hong Kong
Location: 1147
Start time: Mon, May 4 2015, 4:10PM

Must the Fourier series of an $L^2$ function converge pointwise almost everywhere? In the 1960's, Carleson answered this question in the affirmative, by studying a certain maximal operator that is now generally referred to as the Carleson operator. In this talk we will give a general survey of the Carleson operator, and then describe recent joint work with Lillian Pierce that introduces curved structure to the setting of Carleson operators.