Resumen de Continuity of Calderón-Zygmund operators on the space BMO

Qixiang Yang

• David and Journé discovered a criterion for the continuity on L2 of Calderón-Zygmund operators defined by singular integrals. In their approach the distributional kernel of the given operator is locally Hölder continuous outside the diagonal. The aim of this paper is to prove a David-Journé theorem where this smoothness assumption is replaced by a weaker one. Our approach strongly relies on an algorithm developed by Beylkin, Coifman, and Rokhlin.