REALIZATION OF PEETRE K-MODULUS ON THE SPHERE

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (4): 427-434.

REALIZATION OF PEETRE K-MODULUS ON THE SPHERE

陈守银, 李落清

Deportment of Mathematics, Hubei University, Wuhan 430062, China

收稿日期:1997-08-17 出版日期:1998-12-25 发布日期:1998-12-25
基金资助:
The author was partially supported by NSFC Grant #19771009

REALIZATION OF PEETRE K-MODULUS ON THE SPHERE

Chen Shouyin, Li Luoqing

Deportment of Mathematics, Hubei University, Wuhan 430062, China

Received:1997-08-17 Online:1998-12-25 Published:1998-12-25
Supported by:
The author was partially supported by NSFC Grant #19771009

摘要/Abstract

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.

关键词: K-modulus, Riesz operator, spherical harmonic expansion

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

陈守银, 李落清. REALIZATION OF PEETRE K-MODULUS ON THE SPHERE[J]. 数学物理学报(英文版), 1998, 18(4): 427-434.

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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REALIZATION OF PEETRE K-MODULUS ON THE SPHERE

REALIZATION OF PEETRE K-MODULUS ON THE SPHERE

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