Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces  

作　　者：XIE LinSen LAN JiaCheng LAN SenHua YAN DunYan 

机构地区：[1]Department of Mathematics,Lishui University,Lishui 323000,China [2]Graduate University of the Chinese Academy of Sciences,Beijing 100080,China

出　　处：《Science China Mathematics》2009年第3期481-492,共12页中国科学：数学（英文版）

基　　金：supported by Key Academic Discipline of Zhejiang Province of China and National NaturalScience Foundation of China (Grant Nos. 10571014, 10631080, 10671019)

摘　　要：We establish Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. These inequalities can be applied to some important operators in Fourier analysis, such as the Bochner-Riesz multiplier over the critical index, the generalized Bochner-Riesz mean and the generalized Able-Poisson operator.We establish Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. These inequalities can be applied to some important operators in Fourier analysis, such as the Bochner-Riesz multiplier over the critical index, the generalized Bochner-Riesz mean and the generalized Able-Poisson operator.

关 键 词：Herz-type Hardy space multiplier Jackson-type inequality Bernstein-type inequality 42B15 42B20 

分 类 号：O177[理学—数学]