Sharp Inequalities for the Beurling-ahlfors Transform on Radial Functions
نویسنده
چکیده
For 1 ≤ p ≤ 2, we prove sharp weak-type (p, p) estimates for the BeurlingAhlfors operator acting on the radial function subspaces of Lp(C). A similar sharp Lp result is proved for 1 < p ≤ 2. The results are derived from martingale inequalities which are of independent interest.
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تاریخ انتشار 2012