STRONG SUMMABILITY OF BOCHNER-RIESZ SPHERICAL MEANS;
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摘要:
In this paper, we investigate the strong summability of multiple Fourier series by the Bochner-Riesz spherical means at eritical index. We prove that the localization theorem of the strong summability holds for any positive degree, that is, if f(x)∈L(Q) and f(x)=0(|x-x|<δ), then We also give eertain results on the strong summability which improves Boehnor-Chandraosekharan’s theorem.
机构:
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R ChinaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
Chen, Peng
Lee, Sanghyuk
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机构:
Seoul Natl Univ, Sch Math Sci, Seoul 151742, South KoreaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
Lee, Sanghyuk
Sikora, Adam
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机构:
Macquarie Univ, Dept Math, Sydney, NSW 2109, AustraliaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
Sikora, Adam
Yan, Lixin
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h-index: 0
机构:
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
Macquarie Univ, Dept Math, Sydney, NSW 2109, AustraliaSun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China