We characterize the power weights ω for which the fractional type operator Tα , β is bounded from Lp(ωp) into Lq(ωq) for 1 < p< n/ (n- (α+ β)) and 1 / q= 1 / p- (n- (α+ β)) / n. If n/ (n- (α+ β)) ≤ p< n/ (n- (α+ β) - 1) + ...

We prove that a generalized Fefferman–Phong type conditions on a pair of weights u and v is sufficient for the boundedness of the potential type operator from Lv p(.) into Lu q(.). We also obtain an analogous estimates for ...

We prove that a generalized Fefferman-Phong type condition on a pair of weights uand v is sufficient for the boundedness of the commutators of potential type operators from Lp(·)_v into Lq(·)_u. We also give an improvement ...

We characterize the weights for the Stieltjes transform and the Calder´on operator to be bounded on the weighted variable Lebesgue spaces $L_w^{p(cdot)}(0,infty)$, assuming that the exponent function $pp$ is log-H"older ...

En el Análisis Armónico nos encontramos frecuentemente con el problema de la continuidad, en diferentes contextos, de una amplia gama de operadores que surgen del estudio de la regularidad de soluciones de ecuaciones ...

El objetivo principal de esta tesis es estudiar la acotación con pesos de una familia de operadores integrales en los espacios de Lebesgue y en los espacios generalizados de oscilación media acotada de John y Nirenberg ...

We study boundedness and convergence on Lp(ℝn, dμ) of the projection operators Pj given by MRA structures with non-necessarily compactly supported scaling function. As a consequence, we prove that if w is a locally integrable ...

Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results ...