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REALIZATION OF PEETRE K-MODULUS ON THE SPHERE

REALIZATION OF PEETRE K-MODULUS ON THE SPHERE
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摘要 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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1998年第4期427-434,共8页 数学物理学报(B辑英文版)
关键词 K-modulus Riesz operator spherical harmonic expansion K-modulus Riesz operator spherical harmonic expansion
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