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L^p CONVERGENCE OF CESRO MEANS ON SPHERE

L^p CONVERGENCE OF CESRO MEANS ON SPHERE
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摘要 Let R be r-dimensional Euclidean space with . Denote by the unit sphere in For we denote by (f) its Cesàro means of order for spherical harmonic expansions. The special value of is known as the critical one. For , we set This paper proves that N^co u holds for a,ty f e L,0 (log+ L)2~po (log+ log+ L)'(,0~', forth I > 1. Let R be r-dimensional Euclidean space with . Denote by the unit sphere in For we denote by (f) its Cesàro means of order for spherical harmonic expansions. The special value of is known as the critical one. For , we set This paper proves that N^co u holds for a,ty f e L,0 (log+ L)2~po (log+ log+ L)'(,0~', forth I > 1.
出处 《Analysis in Theory and Applications》 2000年第3期42-47,共6页 分析理论与应用(英文刊)
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参考文献2

  • 1Gavin Brown,Kunyang Wang.Jacobi polynomial estimates and fourier-laplace convergence[J].The Journal of Fourier Analysis and Applications.1997(6)
  • 2Elias M. Stein.Localization and summability of multiple fourier series[J].Acta Mathematica (-).1958(1-2)

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