P. Stinga

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20122022

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math.CA2022

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…

math.CA2018

One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

P. R. Stinga, M. Vaughan

We characterize one-sided weighted Sobolev spaces $W^{1, p} (R, ω)$ , where $ω$ is a one-sided Sawyer weight, in terms of a.e.~and weighted $L^{p}$ limits as $α \to 1^{-}$ of Marcha…