Joint BCAM-UPV/EHU Analysis and PDE seminar: Operator-free sparse domination

Fecha: Jue, Ene 27 2022

Hora: 17:00

Ubicación: BCAM Seminar Room and Online

Ponentes: Emiel Lorist

LOCATION: BCAM Seminar Room and Online

Sparse domination is a recent technique, allowing to estimate (in norm, pointwise or dually) many operators in harmonic analysis by simple, positive expressions. This technique has led to many new results in harmonic analysis over the past decade. In this talk I will discuss a sparse domination principle for an arbitrary family of functions f(x,Q), where x ∈ Rn and Q is a cube in Rn. When applied to operators, this result recovers various recent sparse domination results. In contrast to preceding results, our sparse domination principle can also be applied to non-operator objects, which allows one to use sparse techniques in new areas. I will discuss one of these new applications in detail: weighted Poincare inequalities. This talk is based on joint work with Andrei Lerner and Sheldy Ombrosi.

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University of Helsinki

Ponentes confirmados:

Emiel Lorist