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An integral estimate of Bessel function and its application

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Abstract

In this paper the authors give a new integral estimate of the Bessel function, which is an extension of Calderón-Zygmund’s result. As an application of this result, we prove that the parameterized Marcinkiewicz integral µ ρΩ with variable kernels is of type (2, 2), where the kernel function Θ does not have any smoothness on the unit sphere in ℝn.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU), Ministry of Education, Beijing, 100875, China

    Yong Ding & Ran Li

Authors
  1. Yong Ding
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  2. Ran Li
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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 the Specialized Research Foundation for Doctor Programme (Grant No. 20050027025)

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Ding, Y., Li, R. An integral estimate of Bessel function and its application. Sci. China Ser. A-Math. 51, 897–906 (2008). https://doi.org/10.1007/s11425-008-0004-4

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  • DOI: https://doi.org/10.1007/s11425-008-0004-4

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