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

查看全文 作　　者：XIE [1]LinSen;LAN [1]JiaCheng;LAN [1]SenHua;YAN [2]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》索引2009年第52卷第3期,共12页

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. 关键词：Herz-type Hardy space multiplier Jackson-type INEQUALITY Bernstein-type INEQUALITY

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

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