Weighted Bounds for Multilinear Square Functions

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• 作者：The Anh Bui ; Mahdi Hormozi
• 关键词：Multilinear singular integrals ; Weighted norm inequalities ; Aperture dependence
• 刊名：Potential Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：46
• 期：1
• 页码：135-148
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Potential Theory; Probability Theory and Stochastic Processes; Geometry; Functional Analysis;
• 出版者：Springer Netherlands
• ISSN：1572-929X
• 卷排序：46

文摘

Let \(\vec {P}=(p_{1},\dotsc ,p_{m})\) with 1 < p₁, …, p_m < ∞, 1/p₁+⋯+1/p_m=1/p and \(\vec {w}=(w_{1},\dotsc ,w_{m})\in A_{\vec {P}}\). In this paper, we investigate the weighted bounds with dependence on aperture α for multilinear square functions \(S_{\alpha ,\psi }(\vec {f})\). We show that