Integral estimates for a linear singular operator linked with the Boltzmann operator: Part I: Small singularities $0 < u < 1$ Radjesvarane Alexandre 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. Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2861 10.1512/iumj.2006.55.2861 en Indiana Univ. Math. J. 55 (2006) 1975 - 2022 state-of-the-art mathematics http://iumj.org/access/