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Qp空间中的de la Vallée Poussin平均

本站小编 Free考研考试/2021-12-27

陈英伟, 王钥
河北经贸大学 数学与统计学学院, 石家庄 050061
收稿日期:2017-06-15出版日期:2019-06-15发布日期:2019-05-18


基金资助:国家自然科学基金(11771412)和河北省自然科学基金(A2015207007)项目,河北经贸大学国家课题培育项目(2018PY12)资助.


DE LA VALLÉE POUSSIN MEANS IN Qp SPACES

Chen Yingwei, Wang Yue
College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061 China
Received:2017-06-15Online:2019-06-15Published:2019-05-18







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本文研究了单位球上的Qp空间中的de la Vallée Poussin平均算子,并通过高阶光滑模来建立Jackson逼近定理.此外,我们还得到了Bernstein不等式,K-泛函和光滑模的等价刻画等结果.
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[1] Natanson I P. Constructive function theory[M]. Vol. 1. New York:Ungar, 1964.

[2] Pólya G, Schoenberg I J. Remarks on de la Vallée Poussin means and convex conformal maps of the circle[J]. Pacific J. Math., 1958, 8(2):295-335.

[3] DeVore R A, Lorentz G G. Construction approximation[M]. Berlin:Springer-Verlag, 1993.

[4] Butzer P L. On the singular integral of de la Vallée-Pousin[J]. Arch. Math., 1956, 7(4):295-309.

[5] Ding C, Yang R, Cao F. The strong converse inequality for de la Vallée Poussin means on the sphere[J]. J. Comput. Anal. Appl., 2016, 20(1):34-41.

[6] Gal S G, Sabadini I. Approximation by polynomials on quaternionic compact sets[J]. Math. Meth. Appl. Sci., 2015, 38(14):3063-3074.

[7] Muir J R, Suffridge T J. De la Vallée Poussin means of holomorphic mappings of the ball[A]. Complex analysis and dynamical systems IV. Part 1, 231-243, Contemp. Math. 553, Providence, RI, 2011.

[8] Zhu K. Spaces of holomorphic functions in the unit ball[M]. New York:Springer, 2005.

[9] Choa J S, Choa B R. A Littlewood-Paley type identity and a characterization of BMOA[J]. Complex, 1991, 17:15-23.

[10] Aulaskari R, Xiao J, Zhao R H. On subspaces and subsets of BMOA and UBC[J]. Analysis, 1995, 15:101-121.

[11] Ouyang C H, Yang W S, Zhao R H. Möbius invariant Qp spaces associated with the Green's function on the unit ball of Cn[J]. Pacific J. Math., 1998, 182:69-99.

[12] Li B, Ouyang C H. Higher radial derivative of Bloch type functions[J]. Acta Math. Sci. Ser. B, 2002, 22:433-445.

[13] Ren G B, Chen Y W. Gradient estimates and Jackson's theorem in Qμ spaces related to measures[J]. J. Approx. Theory, 2008, 155(2) 97-110.

[14] Yang W. Carleson type measure characterizations of Qp spaces[J]. Analysis, 1998, 18:345-349.

[15] Xiao J. Holomorphic Q classes[M]. Berlin:Springer-Verlag, 2001.

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