Maximal operators of tree martingale transforms and their maximal operator inequalities

Authors:
Tong-jun He and Yi Shen

Journal:
Trans. Amer. Math. Soc. **360** (2008), 6595-6609

MSC (2000):
Primary 60G46, 46B09

DOI:
https://doi.org/10.1090/S0002-9947-08-04502-9

Published electronically:
July 28, 2008

MathSciNet review:
2434301

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we define maximal operators for tree martingale transforms in spaces and prove inequalities for them by using the property.

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Additional Information

**Tong-jun He**

Affiliation:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China

Address at time of publication:
College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, People’s Republic of China

Email:
hetongjun@fzu.edu.cn

**Yi Shen**

Affiliation:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China

Email:
lhfu@hust.edu.cn

DOI:
https://doi.org/10.1090/S0002-9947-08-04502-9

Keywords:
Tree martingale,
$UMD$ spaces,
maximal operator

Received by editor(s):
August 28, 2006

Received by editor(s) in revised form:
March 1, 2007

Published electronically:
July 28, 2008

Additional Notes:
The authors were partially supported by NSFC Grant: 60574025

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.