Parameterized Littlewood-Paley Operators and Area Integrals on Weak Hardy Spaces

Parameterized Littlewood-Paley Operators and Area Integrals on Weak Hardy Spaces

In this paper, we establish the boundedness of parameterized Littlewood-Paley operator μλ^＊,p and parameterized area integralμΩ^σSp with kernel satisfying the logarithmic type Lipschitz condition on the weak Hardy space.

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Veröffentlicht in:Acta mathematica Sinica. English series 2013-10, Vol.29 (10), p.1857-1870
Hauptverfasser: Lin, Yan, Liu, Zong Guang, Mao, Dong Lan, Sun, Zhen Kai
Format: Artikel
Sprache:eng
Schlagworte:
Inequality
Integrals
Kernels
Lipschitz condition
Lipschitz条件
Littlewood-Paley算子
Mathematical models
Mathematics
Mathematics and Statistics
Operators
Studies
Theorems
分区
参数化
对数型
弱Hardy空间
有界性
面积积分
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Beschreibung
Zusammenfassung:In this paper, we establish the boundedness of parameterized Littlewood-Paley operator μλ^＊,p and parameterized area integralμΩ^σSp with kernel satisfying the logarithmic type Lipschitz condition on the weak Hardy space.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2440-5