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61 p, 718.5 KB

Weighted Hardy spaces associated with elliptic operators. Part II : characterizations of h1 L (w) / Martell, José María (Instituto de Ciencias Matemáticas (Madrid, Espanya)) ; Prisuelos-Arribas, Cruz (Instituto de Ciencias Matemáticas (Madrid, Espanya))
Given a Muckenhoupt weight w and a second order divergence form elliptic operator L, we consider different versions of the weighted Hardy space H1 L (w)defined by conical square functions and non-tangential maximal functions associated with the heat and Poisson semigroups generated by L. [...]
2018 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6221806
Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 475-535 (Articles)

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28 p, 438.2 KB

Riesz transforms associated to Schrödinger operators with negative potentials / Assaad, Joyce (Université Bordeaux 1. Institut de Mathématiques)
The goal of this paper is to study the Riesz transforms ∇ A-1/2 where A is the Schrödinger operator - ∆ - V, V ≥ 0, under different conditions on the potential V . We prove that if V is strongly subcritical, ∇ A-1/2 is bounded on Lp(RN), N ≥ 3, for all p є (p'0 ; 2] where p'0 is the dual exponent of p0 where 2 < 2N/N-2 < p0 < ∞; and we give a counterexample to the boundedness on Lp (RN) for p є (1;p'0) ∪ (p0*;∞) where p0* :=poN/N+po is the reverse Sobolev exponent of p0. [...]
2011 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_55111_06
Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 123-150

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