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Artículo
The L(log L)e endpoint estimate for maximal singular integral operators
(Elsevier, 2015-08-01)
We prove in this paper the following estimate for the maximal operator T ∗ associated to the singular integral operator T: kT ∗ fkL 1,∞ (w) . 1 ǫ Z Rn | f(x)| ML(log L) ǫ (w)(x) dx, w ≥ 0, 0 < ǫ ≤ 1. This ...
Artículo
Trudinger inequalities without derivatives
(American Mathematical Society, 2002)
We prove that the Trudinger inequality holds on connected homogeneous spaces for functions satisfying a very weak type of Poincar´e inequality. We also illustrate the connection between this result and the John-Nirenbe ...