球面Hardy空间上Riesz平均的逼近  

Approximation by Riesz Means on Spherical Hardy Spaces

作　　者：李落清[1] 

机构地区：[1]湖北大学数学系,湖北武汉430062

出　　处：《Journal of Mathematical Research and Exposition》2003年第4期704-708,共5页数学研究与评论（英文版）

基　　金：国家自然科学基金(19771009);湖北省自然科学基金(99J169)

摘　　要：引进了球面Hrady空间上Riesz平均算子及Peetre K模。讨论了Riesz平均算子在Hardy空间上的逼近性质。证明了Riesz平均算子与Peetre K模的强渐近等价关系。所得结果表明Peetre K模完全刻划了Riesz平均的逼近。The Riesz means and Peetre K-modulus on Hardy spaces of the unit sphere are introduced. The approximation properties of Riesz means on Hardy spaces are discussed. The equivalence relationships between Riesz means and Peetre X-modulus are established. The Riesz operator can serve as a realization of the corresponding K-modulus.

关 键 词：球面Hardy空问 RIESZ平均 PeetreK模 逼近 

分 类 号：O174.41[理学—数学]