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Anisotropic weak Hardy spaces and interpolation theorems

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Abstract

In this paper, the authors establish the anisotropic weak Hardy spaces associated with very general discrete groups of dilations. Moreover, the atomic decomposition theorem of the anisotropic weak Hardy spaces is also given. As some applications of the above results, the authors prove some interpolation theorems and obtain the boundedness of the singular integral operators on these Hardy spaces.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Yong Ding & SenHua Lan

  2. Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China

    Yong Ding

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

    SenHua Lan

Authors
  1. Yong Ding
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  2. SenHua Lan
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Corresponding author

Correspondence to Yong Ding.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 10571015) and Specialized Research Foundation for Doctor Programme (Grant No. 20050027025)

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Ding, Y., Lan, S. Anisotropic weak Hardy spaces and interpolation theorems. Sci. China Ser. A-Math. 51, 1690–1704 (2008). https://doi.org/10.1007/s11425-008-0009-z

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  • DOI: https://doi.org/10.1007/s11425-008-0009-z

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