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Lower bounds for Coulomb energy for functions in homogeneous fractional sobolev spaces
Ponente: Marco Ghimenti
Institución: Universidad de Pisa
Tipo de Evento: Researcher
Institución: Universidad de Pisa
Tipo de Evento: Researcher
| When |
Nov 12, 2015
from 12:00 PM to 01:00 PM |
|---|---|
| Where | Sala 1 del Auditorio |
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We prove \(L^p\) lower bounds for Coulomb energy for radially
symmetric functions in \(\dot{H}^s(\mathbb{R}^3)\) with \(1/2 <s<
3/2\). By this bound we can improve sobolev embedding for radial
functions in \(\dot{H}^s(\mathbb{R}^3)\) with bounded Coulomb
energy. This result is sharp for \(1/2<s<1\).
Work in collaboration with Jacopo Bellazzini (Univ. Sassari) and Tohru
Ozawa (Univ. Tokyo)