Abstract:
We would like to analyze what can be said about the large deviation behavior of martingales,approximate identities, and related operators. Given some sequence m_n of positive integers, and some sequence w_n of positive real numbers, and let the linear operators
T_n : L1(R) \to L1(R)
be either the dyadic Lebesgue derivatives or the dyadic martingale. We will prove positive and negative results concerning certain convergences related to these sequences and operators
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