Continuity of Calderón-Zygmund Operators on the Space BMO

نویسندگان

  • Qixiang YANG
  • Qixiang Yang
چکیده

David and Journé discovered a criterion for the continuity on L of CalderónZygmund 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.

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تاریخ انتشار 2014