7 Result(s)
within
Article
Oscar Ciaurri
Mathematics
Analysis
-
Article
Hardy’s inequality for the fractional powers of a discrete Laplacian
We prove a Hardy inequality for fractional powers of a discrete Laplacian, which can be seen as a generalized fractional version of the classical Hardy inequality in Landau (J Lond Math Soc 1:38–39, 1926). Such ...
-
Article
Harmonic analysis associated with a discrete Laplacian
It is well known that the fundamental solution of $${u_t}\left( {n,t} \right) = u\left( {n + 1,t} \right) - 2u\left( {n,t} \right) + u...
-
Article
Riesz Transforms on Compact Riemannian Symmetric Spaces of Rank One
In this paper we prove mixed norm estimates for Riesz transforms related to Laplace–Beltrami operators on compact Riemannian symmetric spaces of rank one. These operators are closely related to the Riesz trans...
-
Article
The Riesz Transform for the Harmonic Oscillator in Spherical Coordinates
In this paper, we show weighted estimates in mixed norm spaces for the Riesz transform associated with the harmonic oscillator in spherical coordinates. In order to prove the result, we need a weighted inequal...
-
Article
The spectrum of the right inverse of the Dunkl operator
From the Dunkl analogue of Gegenbauer’s expansion of the plane wave, we derive an explicit closed formula for the spectrum of a right inverse of the Dunkl operator. This is done by stating the problem in such ...
-
Article
Weighted transplantation for Fourier-Bessel series
We prove weighted transplantation inequalities for Fourier-Bessel series with weights more general than previously considered power weights. These inequalities follow by using a local version of the Calderón-Z...
-
Article
A transference theorem for hermite expansions
A transference theorem for multipliers of Hermite expansions is proved. The result allows to transfer weightedL 2(ℝ n ) estimates from lower to higher dimensions.
