Weighted Inequalities for the Two-dimensional One-sided Hardy-littlewood Maximal Function
نویسنده
چکیده
In this work we characterize the pair of weights (w, v) such that the one-sided Hardy-Littlewood maximal function in dimension two is of weaktype (p, p), 1 ≤ p < ∞, with respect to the pair (w, v). As an application of this result we obtain a generalization of the classic Dunford-Schwartz Ergodic Maximal Theorem for bi-parameter flows of null-preserving transformations.
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تاریخ انتشار 2007