李落清.球面Hardy空间上Riesz平均的逼近[J].数学研究及应用,2003,23(4):704~708 |
球面Hardy空间上Riesz平均的逼近 |
Approximation by Riesz Means on Spherical Hardy Spaces |
投稿时间:2001-05-05 |
DOI:10.3770/j.issn:1000-341X.2003.04.021 |
中文关键词: 球面Hardy空间 Riesz平均 Peetre K模 逼近 |
英文关键词:Spherical Hardy space Riesz Means Peetre K-modulus approximation. |
基金项目:国家自然科学基金(19771009),湖北省自然科学基金(99J169)资助项目. |
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中文摘要: |
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。 |
英文摘要: |
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. |
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