Almost everywhere convergence of sequences of multiplier operators on local fields

• 作 者: 郑世骏 郑维行
• 机 构: DepartmentofMathematics,NanjingUniversity,Nanjing210008,China,China
• 出 处: 中国科学：数学英文版
• 发表日期: 1997年1期
• 关键词: MULTIPLIER CALDERON-ZYGMUND singular INTEGRALS Bochner-Riesz means local fields.
• 基金项目: Project supported partially by the National Natural Science Foundation of China.

Let Kn be the n -dimensional vector space over a local field K . Two maximal multiplier theorems on Lp(Kn) are proved for certain multiplier operator sequences associated with regularization and dilation respectively Consequently the a. e. convergence of