Weyl multipliers for invariant sobelev spaces

Radha, Ramakrishnan ; Thangavelu, Sundaram (1998) Weyl multipliers for invariant sobelev spaces Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 108 (1). pp. 31-40. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/108/1/31-40...

Related URL: http://dx.doi.org/10.1007/BF03161309

Abstract

A concrete characterization for the LP - multipliers (1 < p < 8) for the Weyl transform is obtained. This is used to study the Weyl multipliers for Laguerre Sobolev spaces Wm,p (Cn). A dual space characterization is obtained for the Weyl multiplier class MW (WL m,1(Cn)).

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Heisenberg Group; Hilbert-Schmidt Operator; Multiplier; Sobolev Space; Special Hermite Functions; Twisted Convolution; Weyl Transform
ID Code:53568
Deposited On:09 Aug 2011 11:39
Last Modified:18 May 2016 06:39

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