Translation averages of dyadic weights are not always good weights
نویسندگان
چکیده
منابع مشابه
Ergodic averages with deterministic weights
i.e., there exists a constant C such that SN(θ, u) ≤ CN . We define δ(θ, u) to be the infimum of the δ satisfying H1 for θ and u. About H1, in the case where θ takes its values in U (the set of complex numbers of modulus 1), it is clear that for all sequences θ and u, δ(θ, u) is smaller than or equal to 1 and it is well-known (see [Ka] for example) that it is greater than or equal to 1/2. Few e...
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The first author showed in [18] that the Hilbert transform lies in the closed convex hull of dyadic singular operators —so-called dyadic shifts. We show here that the same is true in any Rn —the Riesz transforms can be obtained as the results of averaging of dyadic shifts. The goal of this paper is almost entirely methodological: we simplify the previous approach, rather than presenting the new...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2002
ISSN: 0213-2230
DOI: 10.4171/rmi/323