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3. Real and Complex Analysis, Potential Theory

Extensions of Sobolev inequalities

Carlos Pérez
University of the Basque Country & BCAM, Spain

Abstract:

We will discuss some extensions of classical Sobolev type inequalities for linear and non-linear operators by showing that many operators satisfy a pointwise bound by the Riesz potential applied to the gradient. Joint work with Cong Hoang and Kabe Moen.