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19952026
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math.CA2022★ 2 cited

Summing Sneddon-Bessel series explicitly

Antonio J. Durán, Mario Pérez, Juan L. Varona

We sum in a close form the Sneddon-Bessel series \[ \sum_{m=1}^\infty \frac{J_α(x j_{m,ν})J_β(y j_{m,ν})} {j_{m,ν}^{2n+α+β-2ν+2} J_{ν+1}(j_{m,ν})^2}, \] where , , …

math.CA2019

Lower bounds for the centered Hardy-Littlewood maximal operator on the real line

F. J. Pérez Lázaro

Let . We prove that there exists an such that for each , the centered Hardy-Littlewood maximal operator on sati…

math.CA2018★ 1 cited

Maximal estimates for a generalized spherical mean Radon transform acting on radial functions

Óscar Ciaurri, Adam Nowak, Luz Roncal

We study a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. As the main results, we find conditions for the associ…

math.CA2017★ 1 cited

A Hardy inequality for ultraspherical expansions with an application to the sphere

Alberto Arenas, Óscar Ciaurri, Edgar Labarga

We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of exp…

math.CA2017

Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions

Óscar Ciaurri, Adam Nowak, Luz Roncal

We investigate a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. We establish an integral representation of this…

math.CA2015★ 1 cited

Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

L. Roncal, S. Thangavelu

We prove Hardy inequalities for the conformally invariant fractional powers of the sublaplacian on the Heisenberg group . We prove two versions of such inequalities d…