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http://dx.doi.org/10.4134/BKMS.2015.52.3.851

POINTWISE ESTIMATES AND BOUNDEDNESS OF GENERALIZED LITTLEWOOD-PALEY OPERATORS IN BMO(ℝn)  

Wu, Yurong (College of Science Zhejiang University of Technology)
Wu, Huoxiong (School of Mathematical Sciences Xiamen University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 851-864 More about this Journal
Abstract
In this paper, we study the generalized Littlewood-Paley operators. It is shown that the generalized g-function, Lusin area function and $g^*_{\lambda}$-function on any BMO function are either infinite everywhere, or finite almost everywhere, respectively; and in the latter case, such operators are bounded from BMO($\mathbb{R}^n$) to BLO($\mathbb{R}^n$), which improve and generalize some previous results.
Keywords
generalized Littlewood-Paley operators; BMO spaces; BLO spaces;
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