Weights for Commutators of the One-sided Discrete Square Function, the Weyl Fractional Integral and Other One-sided Operators

نویسندگان

  • M. Lorente
  • M. S. Riveros
چکیده

Abstract. The purpose of this paper is to prove strong type inequalities with one-sided weights for commutators (with symbol b ∈ BMO) of several one-sided operators, such as the one-sided discrete square function, the one-sided fractional operators, or one-sided maximal operators given by the convolution with a smooth function. We also prove that b ∈ BMO is a necessary condition for the boundedness of commutators of these onesided operators.

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تاریخ انتشار 2006