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Hp boundedness of Calderón-Zygmund operators on product spaces

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Abstract.

In this paper, we prove the product Hp boundedness of Calderón- Zygmund operators which were considered by Fefferman and Stein. The methods used in this paper are new even for the classical Hp boundedness of Calderón- Zygmund operators, namely, using some subtle estimates together with the Hp−Lp boundedness of product vector valued Calderón-Zygmund operators.

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Authors and Affiliations

  1. Department of Mathematics, Auburn University, Auburn, AL, 36849-5310, USA

    Yongsheng Han

  2. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China

    Dachun Yang

Authors
  1. Yongsheng Han
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  2. Dachun Yang
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Corresponding author

Correspondence to Dachun Yang.

Additional information

This project was supported by the NNSF (No. 10271015 & No. 10310201047) of China and the second (corresponding) author was also supported by the RFDP (No. 20020027004) of China.

Mathematics Subject Classification (2000):42B20, 42B30, 42B25

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Han, Y., Yang, D. Hp boundedness of Calderón-Zygmund operators on product spaces. Math. Z. 249, 869–881 (2005). https://doi.org/10.1007/s00209-004-0741-1

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  • DOI: https://doi.org/10.1007/s00209-004-0741-1

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