Two-Weight Norm Inequalities for the Local Maximal Function

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• 作者：M. Ramseyer ; O. Salinas ; B. Viviani
• 关键词：Bounded Mean Oscillation ; Fractional Integral ; Variable Exponent
• 刊名：The Journal of Geometric Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：27
• 期：1
• 页码：120-141
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Differential Geometry; Convex and Discrete Geometry; Fourier Analysis; Abstract Harmonic Analysis; Dynamical Systems and Ergodic Theory; Global Analysis and Analysis on Manifolds;
• 出版者：Springer US
• ISSN：1559-002X
• 卷排序：27

文摘

For a local maximal function defined on a certain family of cubes lying “well inside” of \(\Omega \), a proper open subset of \({\mathbb {R}}^n\), we characterize the couple of weights (u, v) for which it is bounded from \(L^p(v)\) on \(L^q(u)\).