| 球面上等收敛算子的有界性 |
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| 引用本文： | 张希荣,戴峰.球面上等收敛算子的有界性[J].数学研究及应用,2002,22(3):332-336. |
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| 作者姓名： | 张希荣 戴峰 |
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| 作者单位： | 1. 华北电力大学基础部,北京,102206
2. 北京师范大学数学系,北京,100875 |
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| 基金项目： | Supported by NNSF of China(19771009) |
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| 摘 要： | 设Rn 是n-维欧氏空间n≥3.用Ωn表示Rn 上的单位球面,对于函数f∈L（Ωn）,ENδ（f）表示其Fourier-Laplace级数的δ阶Cesaro平均所决定的等收敛算子,其中,λ:=（n-2）/2,δ是熟知的临界指标.对于0<δ≤λ,令p0:=(2λ)/（λ+δ）,本文主要证明了如下结果:
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| 关 键 词： | 球面 等收敛算子 有界性 |
| 收稿时间： | 6/7/1999 12:00:00 AM |
Boundedness of the Equiconvergent Operators on the Sphere |
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| ZHA NG Xi-rong and DAI Feng.Boundedness of the Equiconvergent Operators on the Sphere[J].Journal of Mathematical Research with Applications,2002,22(3):332-336. |
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| Authors: | ZHA NG Xi-rong and DAI Feng |
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| Affiliation: | Dept. of Fund. Sci.; North China Electric Power Univ.; Beijing; China;Dept. of Math.; Beijing Normal University; China |
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| Abstract: | Let Rn be an n-dimensional Euclidean space with n ≥ 3. Denote by Ωn the
unit sphere in Rn. For a function f ∈ L(Ωn) we denote by EδN(f) the equiconvergent
operator of Cesaro means of order δ of the Fourier-Laplace series of f. The special value 2λλ := n-2/2 of δ is known as the critical index. For 0 ＜ δ ≤ λ, we set p0 := 2λ/λ+δ. The main aim of this paper is to prove that()with l>1. |
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| Keywords: | equiconvergent operators fourier-laplace series |
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