85 citations · 227 across the 27 of their papers we have counts for
29 papers
Fractional powers of first order differential operators and new families of polynomials associated to inverse measures
M. Mazzitelli, P. R. Stinga, J. L. Torrea
First, we establish the theory of fractional powers of first order differential operators with zero order terms, obtaining PDE properties and analyzing the corresponding fractional…
Vector Valued Transference
E. Berkson, T. A. Gillespie, J. L. Torrea
Our principal result is the following. Let and be Banach spaces, let be a locally compact abelian group, and let be an operator valued kernel defined on with va…
Boundedness of differential transforms for one-sided fractional Poisson-type operator sequence
Chao Zhang, Tao Ma, José L. Torrea
In this paper, we analyze the convergence speed of a series related with by discussing the behavior of the family of operators \begin{equation*} T_N^αf(t) = \sum…
Lipschitz spaces adapted to Schrödinger operators and regularity properties
Marta De León-Contreras, José L. Torrea
Consider the Schrödinger operator in where is a nonnegative potential satisfying a reverse Hölder condition of the type \begin{equati…
Hölder, Sobolev, weak-type and estimates in mixed-norm with weights for parabolic equations
P. R. Stinga, J. L. Torrea
We prove weighted mixed-norm and estimates for and , weighted mixed weak-type estimates for , $L^\infty_{t}(L^p_x)-…
Schauder estimates for discrete fractional integrals
Luciano Abadias, Marta De León-Contreras, José L. Torrea
In this note we focus on the discrete fractional integrals as a natural continuation of our previous work about nonlocal fractional derivatives, discrete and continuous. We define…