Abstract:In this paper, building upon ideas of Naor and Tao [13] and continuing the study initiated in [16] by the authors and Safe, sufficient conditions are provided for weighted weak type and strong type (p, p) estimates with p > 1 for the centered maximal function on the infinite rooted k-ary tree to hold. Consequently a wider class of weights for those strong and weak type (p, p) estimates than the one obtained in [16] is provided. Examples showing that the Sawyer type testing condition and the A p condition do no… Show more
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