7 Result(s)
-
Article
Open AccessWeighted Transplantation for Laguerre Coefficients
We present a transplantation theorem for Laguerre coefficients in weighted spaces by means of a discrete local Calderón–Zygmund theory.
-
Article
Maximal estimates for a generalized spherical mean Radon transform acting on radial functions
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 associated maximal operator and it...
-
Article
Bernoulli–Dunkl and Euler–Dunkl polynomials and their generalizations
Bernoulli–Dunkl and Euler–Dunkl polynomials are generalizations of the classical Bernoulli and Euler polynomials, using the Dunkl operator instead of the differential operator. In this paper, we study properti...
-
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 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
Jacobi transplantation revisited
A transplantation theorem for Jacobi series proved by Muckenhoupt is reinvestigated by means of a suitable variant of Calderón–Zygmund operator theory. An essential novelty of our paper is weak type (1,1) esti...
-
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.
