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4 papers · 2 filters
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…
Vector-valued extensions for fractional integrals of Laguerre expansions
Ó. Ciaurri, L. Roncal
We prove some vector-valued inequalities for fractional integrals defined in the context of two different orthonormal systems of Laguerre functions. Our results are based on estima…
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…