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Littlewood-paley operators on the generalized Lipschitz spaces

✍ Scribed by Shanzhen Lu; Changmei Tan; Kozo Yabuta


Book ID
112719054
Publisher
Walter de Gruyter GmbH & Co. KG
Year
1996
Tongue
English
Weight
377 KB
Volume
3
Category
Article
ISSN
1072-947X

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📜 SIMILAR VOLUMES


General Littlewood–Paley functions and s
✍ Huoxiong Wu 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 215 KB 👁 1 views

## Abstract This paper is devoted to the study on the __L^p^__ ‐mapping properties for certain singular integral operators with rough kernels and related Littlewood–Paley functions along “polynomial curves” on product spaces ℝ^__m__^ × ℝ^__n__^ (__m__ ≥ 2, __n__ ≥ 2). By means of the method of bl

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__, _