8 citations · 11 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
Weighted variation inequalities for differential operators and singular integrals
Tao Ma, Jose Luis Torrea, Quanhua Xu
We prove weighted strong -variation inequalities with for differential and singular integral operators. For the first family of operators the weights used can be ei…