On a generalization of the Lizorkin theorem on Fourier multipliers

Sarybekova, L.O., Tararykova, Tamara and Tleukhanova, N.T. 2010. On a generalization of the Lizorkin theorem on Fourier multipliers. Mathematical Inequalities and Applications 13 (3) , pp. 613-624. 10.7153/mia-13-42

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Abstract

A generalization of the Lizorkin theorem on Fourier multipliers is proved. The proofs are based on using the so-called net spaces and interpolation theorems. An example is given of a Fourier multiplier which satisfies the assumptions of the generalized theorem but does not satisfy the assumptions of the Lizorkin theorem.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
ISSN:	1331-4343
Last Modified:	04 Jun 2017 08:28
URI:	https://orca.cardiff.ac.uk/id/eprint/78756

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