A Weak-type Estimate for Commutators
نویسندگان
چکیده
Let K be a smooth Calderón-Zygmund convolution kernel on R and suppose we are given a function a ∈ L∞. The two-dimensional commutator Tf(x) = ∫ K(x− y)f(y) ∫ [x,y] a(z) dz dy was shown to be bounded on L(R), p > 1 by Christ and Journé [1]. In this article, we show that this operator is also of weak type (1, 1).
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تاریخ انتشار 2011