Weighted Estimates for Commutatorson Nonhomogeneous Spaces

نویسندگان

  • WENGU CHEN
  • BING ZHAO
چکیده

Let μ be a Borel measure on Rd which may be nondoubling. The only condition that μ must satisfy is μ(Q) ≤ c0l(Q) for any cube Q ⊂ Rd with sides parallel to the coordinate axes and for some fixed n with 0 < n ≤ d. This paper is to establish the weighted norm inequality for commutators of Calderón-Zygmund operators with RBMO(μ) functions by an estimate for a variant of the sharp maximal function in the context of the nonhomogeneous spaces.

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تاریخ انتشار 2006