Nonlinearity, Complexity and Foundations in Mathematics

Compact embeddings for fractional super and sub harmonic functions with radial symmetry

speaker: Jacopo Bellazzini (Università di Pisa)

abstract: We prove compactness of the embeddings in Sobolev spaces for fractional super and sub harmonic functions with radial symmetry. The main tool is a pointwise decay for radially symmetric functions belonging to a function space defined by finite homogeneous Sobolev norm together with finite $L^2$ norm of the Riesz potentials. As a byproduct we prove also existence of maximizers for the interpolation inequalities in Sobolev spaces for radially symmetric fractional super and sub harmonic functions. Joint work with Vladimir Georgiev.

timetable:
Wed 11 Sep, 18:20 - 18:55, Aula Dini
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