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Weighted norm inequalities for certain maximal operators with approach regions

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Part of the Lecture Notes in Mathematics book series (2803,volume 1494)

Abstract

In this paper we give some conditions on two weights for the maximal function M Ω to be of weak type (p,p). We also extend this result to the maximal functions of Poisson integrals.

Keywords

  • Maximal Operator
  • Maximal Function
  • Approach Region
  • Weak Type
  • Homogeneous Type

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The Project Supported by National Natural Science Foundation of China

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References

  1. A. P. Calderón, Inequalities for the maximal function relative to a metric, Studia Math. 57 (1976), 297–306.

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  4. A. Nagel and E. M. Stein, On certain maximal functions and approach regions, Adv. in Math. 54 (1984), 83–106.

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  5. J. Sueiro, On maximal functions and Poisson-Szegö integrals, Tran. Amer. Math. Soc. Vol. 298, No.2 (1986), 653–669.

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© 1991 Springer-Verlag

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Pan, W. (1991). Weighted norm inequalities for certain maximal operators with approach regions. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087768

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  • DOI: https://doi.org/10.1007/BFb0087768

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54901-7

  • Online ISBN: 978-3-540-46474-7

  • eBook Packages: Springer Book Archive