Skip to main content
SpringerLink
Log in

The molecular characterization of weighted Hardy spaces

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

The molecular characterization of the weighted atomic Hardy space Hw p,q,s is given. As an application, the boundedness of Hilbert transform on the weighted Hardy space is proved.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Li Xing-min, Peng Li-zhong, Weighted Hardy space and weighted norm inequalities of the area integral, Acta Mathematica Sinica, 1997, 40(3): 351.

    MATH  MathSciNet  Google Scholar 

  2. Taibleson, M. H., Weiss, G., The molecular characterization of Hardy space, Asterisque, 1980, 77: 67.

    MATH  MathSciNet  Google Scholar 

  3. Coifman, R. R., Weiss, G., Extensions of Hardy spaces and their use in analysis, Bul1. Amer. Math. Soc., 1977, 83: 567.

    MathSciNet  Google Scholar 

  4. Liu Lan-zhe, The molecular characteristic of the weighted Hardy space of homogeneous types, Acta Mathematic Scientia, 1994, 14 (supplement issue): 130.

    Google Scholar 

  5. Srtimberg, J. O., Torchinsky, A., Weighted Hardy spaces, Lecture Notes in Math., 1989, 1381.

  6. Zou Jin, WeightedH P (w) and its dual on the space of homogeneous type, Acta Mathematica Sinica, 1989, 32(4): 493.

    MATH  MathSciNet  Google Scholar 

  7. Garcia-Cuerva, J., Kazarian, K. S., Calder6n-Zygmund operators and unconditional bases of weighted Hardy spaces, Studia Math.. 1994. 109(3): 255.

    MATH  MathSciNet  Google Scholar 

  8. Deng Dong-gao, Han Yong-sheng, The Theory of H, Spaces (in Chinese), Beijing: Peking Univ. Press, 1992.

    Google Scholar 

  9. Garcia-Cuerva, J., R. de Francia, J. L., Weighted norm ineq. and related topics, Amsterdam: North-Holland, 1985.

    Google Scholar 

  10. Hunt, R. A., Muckenhoupt, B., Wheeden, R. L., Weighted norm ineq. for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc., 1973, 176: 227.

    Article  MATH  MathSciNet  Google Scholar 

  11. Coifman, R. R., Fefferman, C., Weighted norm ineq. for maximal function and singular integral, Studia Math., 1974, 51: 241.

    MATH  MathSciNet  Google Scholar 

  12. Li Xing-min, On the factorization ofA, weigths, Proc. Amer. Math. Soc., 1994, 4: 1075.

    Article  Google Scholar 

Download references

Author information

Author notes

  1. Xingmin Li

    Present address: Department of Mathematics, Guangzhou Nonnal University, 510405, Guangzhou, China

Authors and Affiliations

  1. School of Mathematical Science, Peking University, 100871, Beijing, China

    Xingmin Li & Lizhong Peng

Authors
  1. Xingmin Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lizhong Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, X., Peng, L. The molecular characterization of weighted Hardy spaces. Sci. China Ser. A-Math. 44, 201–211 (2001). https://doi.org/10.1007/BF02874422

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02874422

Keywords

Search

Navigation