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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Lishui University, Lishui, 323000, China

    LinSen Xie, JiaCheng Lan & SenHua Lan

  2. Graduate University of the Chinese Academy of Sciences, Beijing, 100080, China

    DunYan Yan

Authors
  1. LinSen Xie
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  2. JiaCheng Lan
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  3. SenHua Lan
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  4. DunYan Yan
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Corresponding author

Correspondence to DunYan Yan.

Additional information

This work was supported by Key Academic Discipline of Zhejiang Province of China and National Natural Science Foundation of China (Grant Nos. 10571014, 10631080, 10671019)

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Xie, L., Lan, J., Lan, S. et al. Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. Sci. China Ser. A-Math. 52, 481–492 (2009). https://doi.org/10.1007/s11425-008-0128-6

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  • DOI: https://doi.org/10.1007/s11425-008-0128-6

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