CONVERGENCE AND APPROXIMATION BEHAVIOURS OF THE GENERALIZED ABEL MEANS DEFINED IN H^p(T^n) (0<p≤1)

CONVERGENCE AND APPROXIMATION BEHAVIOURS OF THE GENERALIZED ABEL MEANS DEFINED IN H^p(T^n) (0<p≤1)

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摘要 In [2], P. Oswald discussed the approximation behaviours of the Bochner-Riesz means above critical index of the Fourier integrals of the functions in H^p(R) (0<p≤1) and obtained a Jacson-type inequality. The inequality was based on equivalence of the H^p(R)-modulus of continuity and the corresponding K-functional.

作者张严

机构地区 Beijing Normal University

出处《Chinese Science Bulletin》 SCIE EI CAS 1988年第21期1758-1762,共5页

关键词 generalized ABEL meacs CONVERGENCE APPROXIMATION real H^p(T^n) spaces generalized Abel meacs convergence approximation real H^p(T^n) spaces

分类号 O1 [理学—数学]

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1Lu Zhikang.APPROXIMATION OF FOURIER INTERGRAL BY BOCHNER-RIESZ MEANS UNDER ONE-SIDE CONDITION[J].Analysis in Theory and Applications,1993,9(1):33-41.
2Wang Shiming Zhejiang Institute of Technology, China Mathematics Section Department of Basic Courses Zhejiang Institute of Technology Hangzhou, 310014 P. R. China.APPROXIMATION OF BOCHNER-RIESZ MEANS 0F CONJUGATE FOURIER INTEGRALS BEL0W THE CRITICAL INDEX[J].Analysis in Theory and Applications,1994,10(2):32-42.
3宋儒瑛.WEIGHTED L_p-APPROXIMATION OF DERIVATIVES BY THE METHOD OF BETA OPERATORS[J].Acta Mathematica Scientia,1999,19(S1):575-582. 被引量：1
4Shanzhen LU.Conjectures and problems on Bochner-Riesz means[J].Frontiers of Mathematics in China,2013,8(6):1237-1251. 被引量：1
5王时铭.APPROXIMATION ON SET OF TOTAL MEASURE OF BOCHNER-RIESZ MEANS BELOW THE CRITICAL INDEX[J].Analysis in Theory and Applications,1992,8(1):75-86.
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7李松,吴正昌,马柏林.BESOV SPACES AND K-FUNCTIONALS IN L_p, 0<p<1[J].Acta Mathematicae Applicatae Sinica,2000,16(3):258-265.
8Wu Zhaoji(Suzhou Vocational CollegeSuzhou 215011 PRCosky@163. net).ON ALMOST EVERYWHERE SUMMABILITY OF CONJUGATE BOCHNER-RIESZ MEANS[J].Analysis in Theory and Applications,2000,16(2):52-57.
9Yu Maohe Kunming Hydropower Scientific Research Institute, China.ON THE LOCALIZATION AND CONVERGENCE OF MULTIPLE FOURIER INTEGRAL BY BOCHNER-RIESZ MEANS[J].Analysis in Theory and Applications,1993,9(2):37-49.
10杨义群.ON THE K-FUNCTIONAL IN THE SOBOLEV SPACES[J].Chinese Science Bulletin,1984,29(1):138-139.

Chinese Science Bulletin

1988年第21期

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CONVERGENCE AND APPROXIMATION BEHAVIOURS OF THE GENERALIZED ABEL MEANS DEFINED IN H^p(T^n) (0<p≤1)

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