首页 | 本学科首页   官方微博 | 高级检索  
     检索      

Singular Measures and Convolution Operators
作者姓名:J.  M.  ALDAZ  Juan  L.  VARONA
作者单位:Departamento de Matemdticas y Computación, Universidad de La Rioja, 26004 Logrono, Spain
基金项目:Research supported by Grant BFM2003-06335-C03-03 of the DGI
摘    要:We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1, 1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated with parallelotopes do not decrease with the dimension.

关 键 词:奇异测度  卷积算子  Hardy-Littlewood极大函数  弱型不等式
收稿时间:14 April 2004
修稿时间:2004-04-142004-08-25

Singular Measures and Convolution Operators
J. M. ALDAZ Juan L. VARONA.Singular Measures and Convolution Operators[J].Acta Mathematica Sinica,2007,23(3):487-490.
Authors:J M Aldaz  Juan L Varona
Institution:1.Departamento de Matemáticas y Computación,Universidad de La Rioja,Logro?o,Spain
Abstract:We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1, 1) inequalities. As an application, we prove that the best constants for the centered Hardy–Littlewood maximal operator associated with parallelotopes do not decrease with the dimension. Research supported by Grant BFM2003–06335–C03–03 of the DGI
Keywords:Hardy-Littlewood maximal function  Weak type inequalities  Singular measures  Convo-lution operators
本文献已被 维普 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号