FALL 2021 Nonlinear Analysis Seminar Series


Tuesday, November 30, 2021 - 10:00 to 11:00


Online via Zoom


Dr. Po Lam Yung,  Australian National University

Title: Sobolev norms revisited


In this talk, we will describe some new ways of characterising Sobolev norms, using sizes of superlevel sets of suitable difference quotients. They provide remedy in certain cases where some critical Gagliardo-Nirenberg interpolation inequalities fail, and lead us to investigate real interpolations of certain fractional Besov spaces. Some connections will be drawn to earlier work by Bourgain, Brezis and Mironescu. Joint work with Haim Brezis, Jean Van Schaftingen, Qingsong Gu, Andreas Seeger and Brian Street.

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