Jotsaroop, K and Sanjay, PK and Thangavelu, S (2013) Riesz transforms and multipliers for the Grushin operator. In: Journal d'Analyse Mathématique, 119 (1). pp. 255-273.
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Official URL: http://dx.doi.org/10.1007/s11854-013-0008-z
Abstract
We show that Riesz transforms associated to the Grushin operator G = -Delta - |x|(2 similar to) (t) (2) are bounded on L (p) (a''e (n+1)). We also establish an analogue of the Hormander-Mihlin Multiplier Theorem and study Bochner-Riesz means associated to the Grushin operator. The main tools used are Littlewood-Paley theory and an operator-valued Fourier multiplier theorem due to L. Weis.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal d'Analyse Mathématique |
| Publisher: | Springer |
| Additional Information: | Copyright of this article belongs to Springer. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 11 Jun 2013 07:37 |
| Last Modified: | 11 Jun 2013 07:37 |
| URI: | http://eprints.iisc.ac.in/id/eprint/46657 |
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