Seminar: Prof. E. Laeng, Politecnico di Milano (Italy)

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Venue:DM 409A

Thursday, Apr. 24, 3.00 pm, rm. DM 409

Title: L^p norms of the Hilbert transform of a characteristic function and related topics.

Prof. E. Laeng, Politecnico di Milano (Italy)

Abstract: We give explicit formulae for the L^p norms of the Hilbert transform of the characteristic function of a measurable subset of the line of finite Lebesgue measure.We consider, refining a theorem of Stein and Weiss, L^p of the whole line, but also L^p on the support of the given set, or on its complement. We discuss some related topics, that include a putative "uncertainty principle" for the Hilbert transform operator.