Open Access

Continuity of multilinear operators on Triebel-Lizorkin spaces

Journal of Inequalities and Applications20062006:58473

https://doi.org/10.1155/JIA/2006/58473

Received: 4 February 2006

Accepted: 28 September 2006

Published: 28 December 2006

Abstract

The continuity of some multilinear operators related to certain convolution operators on the Triebel-Lizorkin space is obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.

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Authors’ Affiliations

(1)
Department of Mathematics, Changsha University of Science and Technology

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Copyright

© Lanzhe Liu 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.