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Pointwise multipliers for Campanato spaces on Gauss measure spaces

Published online by Cambridge University Press:  11 January 2016

Liguang Liu  and
Dachun Yang
Liguang Liu
Affiliation:
Department of Mathematics School of Information Renmin University of ChinaBeijing 100872 People’sRepublic of [email protected]
Dachun Yang
Affiliation:
School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of EducationBeijing 100875 People’sRepublic of [email protected]
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Abstract

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In this paper, the authors characterize pointwise multipliers for Campanato spaces on the Gauss measure space (ℝn,| · |,γ), which includes BMO(γ) as a special case. As applications, several examples of the pointwise multipliers are given. Also, the authors give an example of a nonnegative function in BMO(γ) but not in BLO(γ).

Keywords

42B1542B3028C20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 214 , June 2014 , pp. 169 - 193
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

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