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Artículo
Ap weights for nondoubling measures in Rn and applications
(American Mathematical Society, 2002)
We study an analogue of the classical theory of Ap(µ) weights in Rn without assuming that the underlying measure µ is doubling. Then, we obtain weighted norm inequalities for the (centered) Hardy-Littlewood maximal function ...
Artículo
Sharp weighted estimates for multilinear commutators
(London Mathematical Society, 2002-06)
Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by Formula are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists ...
Artículo
L1 → Lq Poincaré inequalities for 0 < q < 1 imply representation formulas
(Springer, 2002-01)
Given two doubling measures μ and ν in a metric space (S, ρ) of homogeneous type, let B0⊂S be a given ball. It has been a well-known result by now (see [1–4]) that the validity of an L1→L1 Poincaré inequality of the following ...
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 ...