| REALIZATION OF PEETRE K-MODULUS ON THE SPHERE |
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| 作者姓名： | 陈守银 李落清 |
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| 作者单位： | Deportment of Mathematics，Hubei University，Wuhan 430062，China |
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| 摘 要： | 1IntroductionandNotationsLetfi={p=(x,yiz)ER3,IPI=1}betheunitsphereintheEuclideanspaceR3.ByC(O)andLP(O),1SP
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REALIZATION OF PEETRE K-MODULUS ON THE SPHERE |
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| Chen Shouyin , Li Luoqing.REALIZATION OF PEETRE K-MODULUS ON THE SPHERE[J].Acta Mathematica Scientia,1998(4). |
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| Authors: | Chen Shouyin Li Luoqing |
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| Abstract: | The Peetre K-modulus and the generalized. Riesz summability operators on the sphere are introduced. The convergence and boundedness of the Riesz operators are discussed. The strong and weak equivalence relationships of the K-moduli and the Riesz operators are presented. The Riesz operators can serve as a realization of the corresponding K-modulus. |
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| Keywords: | K-modulus Riesz operator spherical harmonic expansion |
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