85 citations · 190 across the 32 of their papers we have counts for
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Potential operators associated with Jacobi and Fourier-Bessel expansions
Adam Nowak, Luz Roncal
We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi and Fourier-Bessel expansions. We prove sharp estimates for the corresponding potential…
Fractional Laplacian on the torus
L. Roncal, P. R. Stinga
We study the fractional Laplacian on the -dimensional torus , . First, we present a general extension problem that describes \textit{any} frac…
Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter
Adam Nowak, Luz Roncal
The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimate…
Fractional integrals on compact Riemannian symmetric spaces of rank one
O. Ciaurri, L. Roncal, P. R. Stinga
In this paper we study mixed norm boundedness for fractional integrals related to Laplace--Beltrami operators on compact Riemannian symmetric spaces of rank one. The key point is t…