Zobrazeno 1 - 10
of 625
pro vyhledávání: '"Thangavelu, S."'
Autor:
Roncal, L., Thangavelu, S.
Let $ X = G/K $ be a rank one Riemannian symmetric space of noncompact type. In view of the Iwasawa decomposition $ G = NAK $ of the underlying semisimple Lie group, we can also view $ X $ as the solvable extension $ S = NA $ of the Iwasawa group $ N
Externí odkaz:
http://arxiv.org/abs/2005.09894
In this paper we deal with lacunary and full versions of the spherical maximal function on the Heisenberg group $\mathbb{H}^n$, for $n\ge 2$. By suitable adaptation of an approach developed by M. Lacey in the Euclidean case, we obtain sparse bounds f
Externí odkaz:
http://arxiv.org/abs/1812.11926
Autor:
Roncal, L., Thangavelu, S.
In this paper we study the extension problem for the sublaplacian on a $H$-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian.
Comment: 39 pages
Comment: 39 pages
Externí odkaz:
http://arxiv.org/abs/1708.09258
We prove Hardy-type inequalities for a fractional Dunkl--Hermite operator which incidentally give Hardy inequalities for the fractional harmonic oscillator as well. The idea is to use $h$-harmonic expansions to reduce the problem in the Dunkl--Hermit
Externí odkaz:
http://arxiv.org/abs/1602.04997
Autor:
Roncal, L., Thangavelu, S.
We prove Hardy inequalities for the conformally invariant fractional powers of the sublaplacian on the Heisenberg group $\mathbb{H}^n$. We prove two versions of such inequalities depending on whether the weights involved are non-homogeneous or homoge
Externí odkaz:
http://arxiv.org/abs/1508.00714
Our main goal in this article is to study mixed norm estimates for the Ces\`{a}ro means associated with Dunkl--Hermite expansions on $\mathbb{R}^d$. These expansions arise when one consider the Dunkl--Hermite operator (or Dunkl harmonic oscillator) $
Externí odkaz:
http://arxiv.org/abs/1410.2162
Autor:
Boggarapu, Pradeep, Thangavelu, S.
In this paper we study the chaotic behaviour of the heat semigroup generated by the Dunkl-Laplacian on weighted $ L^p$ spaces. In the case of the heat semigroup associated to the standard Laplacian we obtain a complete picture on the spaces $ L^p(\R^
Externí odkaz:
http://arxiv.org/abs/1407.5010
Autor:
Boggarapu, Pradeep, Thangavelu, S.
In this paper we study weighted mixed norm estimates for Riesz transforms associated to Dunkl harmonic oscillators. The idea is to show that the required inequalities are equivalent to certain vector valued inequalities for operator defined in terms
Externí odkaz:
http://arxiv.org/abs/1407.1644
Autor:
Boggarapu, Pradeep, Thangavelu, S.
In this paper we prove weighted mixed norm estimates for Riesz transforms associated to Hermite and special Hermite operators. The estimates are shown to be equivalent to vectorvalued esimates for a sequence of operators defined in terms of Laguerre
Externí odkaz:
http://arxiv.org/abs/1310.1999
Autor:
Lavanya, R. Lakshmi, Thangavelu, S.
In this article mixed norm estimates are obtained for some integral operators, from which those for the Hermite semigroup and the Bochner Riesz means associated with the Hermite expansions are deduced. Also, mixed norm estimates for the Littlewood Pa
Externí odkaz:
http://arxiv.org/abs/1307.6376