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http://dx.doi.org/10.7858/eamj.2019.028

TWO WEIGHT ESTIMATE FOR THE PARAPRODUCT IN THE SPACE OF HOMOGENEOUS TYPE  

Chung, Daewon (Faculty of Basic Sciences, Mathematics Major, Keimyung University)
Publication Information
East Asian mathematical journal / v.35, no.3, 2019 , pp. 319-329 More about this Journal
Abstract
In this paper, we provide sufficient conditions of a pair of weights (u, v) and a function b so that the dyadic paraproduct is bounded from $L^2_u(X)$ into $L^2_v(X)$, where X is a space of homegeneous type. In order to prove the main result we use the honest dyadic system introduced in [10].
Keywords
Weighted norm estimate; Dyadic paraproduct; homogeneous space; Haar system;
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Times Cited By KSCI : 1  (Citation Analysis)
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