Mixed norm estimates for the Riesz transforms on the Heisenberg group

Boggarapu, Pradeep and Thangavelu, Sundaram (2015) Mixed norm estimates for the Riesz transforms on the Heisenberg group. In: MONATSHEFTE FUR MATHEMATIK, 178 (3). pp. 361-388.

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Abstract

In this paper we prove weighted mixed norm estimates for Riesz transforms on the Heisenberg group and Riesz transforms associated to the special Hermite operator. From these results vector-valued inequalities for sequences of Riesz transforms associated to generalised Grushin operators and Laguerre operators are deduced.

Item Type:	Journal Article
Publication:	MONATSHEFTE FUR MATHEMATIK
Publisher:	SPRINGER WIEN
Additional Information:	Copy right for this article belongs to the SPRINGER WIEN, SACHSENPLATZ 4-6, PO BOX 89, A-1201 WIEN, AUSTRIA
Keywords:	Riesz transforms; Heisenberg group; Special Hermite functions; Weighted norm inequalities; Laguerre expansion; Grushin operator
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	12 Nov 2015 05:06
Last Modified:	12 Nov 2015 05:06
URI:	http://eprints.iisc.ac.in/id/eprint/52714

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