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

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【Author】 XIE LinSen1, LAN JiaCheng1, LAN SenHua1 & YAN DunYan2 1 Department of Mathematics, Lishui University, Lishui 323000, China 2 Graduate University of the Chinese Academy of Sciences, Beijing 100080, China

【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.更多还原

【Abstract】 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.更多还原

【关键词】 Herz-type Hardy space； multiplier； Jackson-type inequality； Bernstein-type inequality；
【Key words】 Herz-type Hardy space； multiplier； Jackson-type inequality； Bernstein-type inequality；

【基金】 supported by Key Academic Discipline of Zhejiang Province of China and National NaturalScience Foundation of China (Grant Nos. 10571014, 10631080, 10671019)

【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2009年03期

【分类号】O177
【下载频次】22

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