On Hermite pseudo-multipliers

Bagchi, Sayan and Thangavelu, Sundaram (2015) On Hermite pseudo-multipliers. In: JOURNAL OF FUNCTIONAL ANALYSIS, 268 (1). pp. 140-170.

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Abstract

In this article we deal with a variation of a theorem of Mauceri concerning the L-P boundedness of operators M which are known to be bounded on L-2. We obtain sufficient conditions on the kernel of the operator M so that it satisfies weighted L-P estimates. As an application we prove L-P boundedness of Hermite pseudo-multipliers. (C) 2014 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	JOURNAL OF FUNCTIONAL ANALYSIS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Additional Information:	Copyright for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Keywords:	Multipliers and pseudo-multipliers; Hermite expansions; Non-commutative derivatives; Maximal functions
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	21 Jan 2015 04:37
Last Modified:	21 Jan 2015 04:37
URI:	http://eprints.iisc.ac.in/id/eprint/50708

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