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AN EXTENDED LOOMIS–WHITNEY INEQUALITY FOR POSITIVE DOUBLE JOHN BASES

Published online by Cambridge University Press:  10 March 2011

AI-JUN LI ,
GUANGTING WANG  and
GANGSONG LENG
AI-JUN LI
Affiliation:
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo City 454000, China e-mail: liaijun72@163.com
GUANGTING WANG
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 200444, China e-mail: tinggw@163.com
GANGSONG LENG
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 200444, China e-mail: gleng@staff.shu.edu.cn
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Abstract

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In this paper, we establish an extended Loomis–Whitney inequality for positive double John bases, which generalises Ball's result [1]. Moreover, a different extension of the Loomis–Whitney inequality is deduced.

Keywords

52A2052A2152A40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 451 - 462
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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