Weighted estimates for conic Fourier multipliers

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• 作者：Antonio Córdoba ; Keith M. Rogers
• 关键词：Fourier multipliers ; Maximal operators ; Lacunary directions ; Primary 42B25 ; Secondary 26B05
• 刊名：Mathematische Zeitschrift
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：278
• 期：1-2
• 页码：431-440
• 全文大小：241 KB
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• 作者单位：Antonio Córdoba (1)
  Keith M. Rogers (2)
  
  1. Departamento de Matemáticas and Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Universidad Autónoma de Madrid, 28049?, Madrid, Spain
  2. Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas, 28049?, Madrid, Spain
  
• ISSN：1432-1823

文摘

We prove a weighted inequality which controls conic Fourier multiplier operators in terms of lacunary directional maximal operators. By bounding the maximal operators, this enables us to conclude that the multiplier operators are bounded on \(L^p(\mathbb {R}^3)\) with \(1 .