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Weighted estimates for parametrized Littlewood-Paley operators

✍ Scribed by Hongbin Wang; Zongguang Liu


Book ID
107378041
Publisher
Higher Education Press and Springer
Year
2011
Tongue
English
Weight
221 KB
Volume
6
Category
Article
ISSN
1673-3452

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Parametrized Littlewood–Paley operators
✍ Yong Ding; Shanzhen Lu; Qingying Xue 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

## Abstract In this paper, we give the boundedness of the parametrized Littlewood–Paley function $ \mu ^{\*,\rho}\_{\lambda} $ on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that $ \mu ^{\*,\rho}\_{\lambda} $ is of weak type (1, 1) and of type (__p__, _