An integral estimate of Bessel function and its application |
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摘 要: | In this paper the authors give a new integral estimate of the Bessel function,which is an extension of Calder(?)n-Zygmund's result.As an application of this result,we prove that the parameterized Marcinkiewicz integralμ_Ω~p with variable kernels is of type (2,2),where the kernel functionΩdoes not have any smoothness on the unit sphere in R~n.
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收稿时间: | 7 January 2006 |
修稿时间: | 16 September 2007 |
An integral estimate of Bessel function and its application |
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Authors: | Yong Ding Ran Li |
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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 μΩ
ρ
with variable kernels is of type (2, 2), where the kernel function Θ does not have any smoothness on the unit sphere in ℝ
n
.
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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Keywords: | Bessel function Marcinkiewicz integral variable kernel |
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