arXiv subjects
Publications and source records attributed to O. Salinas.
For a local maximal function defined on a certain family of cubes lying ``well inside'' of $Ω$, a proper open subset of $\mathbb R ^n$, we characterize the couple of weights $(u,v)$ for which it is bounded from $L^p(v)$ on $L^q(u)$.
In this work we obtain weighted $L^p$, $1<p<\infty$, and weak $L\log L$ estimates for the commutator of the Riesz transforms associated to a Schrödinger operator $-\lap+V$, where $V$ satisfies some reverse Hölder inequality. The classes of weights as well as the classes of symbols are larger than $A_p$ and $BMO$ corresponding to the classical Riesz transforms.