Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (4): 427-434.
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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.
Key words: K-modulus, Riesz operator, spherical harmonic expansion
Chen Shouyin, Li Luoqing. REALIZATION OF PEETRE K-MODULUS ON THE SPHERE[J].Acta mathematica scientia,Series B, 1998, 18(4): 427-434.
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