article

Title: Integral estimates for a linear singular operator linked with the Boltzmann operator: Part I: Small singularities $0 < u < 1$

Authors: Radjesvarane Alexandre

Issue: Volume 55 (2006), Issue 6, 1975-2022

Abstract:

We give precise integral estimates for a linear operator linked with the Boltzmann quadratic operator. This is done for singular cross-sections. We show Calderon-Zygmund and commutators type estimates. In particular, these estimates can be used to deduce some functional properties of the Boltzmann operator itself.