单位球上F(p,q,s)空间到βμ空间的加权复合算子

赵艳辉, 张学军

数学学报 ›› 2012, Vol. 55 ›› Issue (3) : 437-448.

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PDF(417 KB)
数学学报 ›› 2012, Vol. 55 ›› Issue (3) : 437-448. DOI: 10.12386/A2012sxxb0041
论文

单位球上F(p,q,s)空间到βμ空间的加权复合算子

    赵艳辉1, 张学军2
作者信息 +

Weighted Composition Operators from F(p,q,s) Space to βμ in the Unit Ball

    Yan Hui ZHAO1, Xue Jun ZHANG2
Author information +
文章历史 +

摘要

研究了单位球上F(p,q,s)空间到βμ空间的加权复合算子的有界性和紧性问题.利用泛函分析多复变的方法,获得了单位球上F(p,q,s)空间到βμ空间的加权复合算子为有界算子和紧算子的充要条件.

Abstract

Some questions of Weighted composition operators Tψ,φ from F(p,q,s) space to βμ space in the unit ball are studied. By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for Weighted composition operators Tψ,φF(p,q,s) space to βμ space in the unit ball.

关键词

F(p,q,s)空间 / βμ空间 / 加权复合算子

Key words

F(p,q,s) space / βμ space / weighted composition operators

引用本文

导出引用
赵艳辉, 张学军. 单位球上F(p,q,s)空间到βμ空间的加权复合算子. 数学学报, 2012, 55(3): 437-448 https://doi.org/10.12386/A2012sxxb0041
Yan Hui ZHAO, Xue Jun ZHANG. Weighted Composition Operators from F(p,q,s) Space to βμ in the Unit Ball. Acta Mathematica Sinica, Chinese Series, 2012, 55(3): 437-448 https://doi.org/10.12386/A2012sxxb0041

参考文献

[1] Zhou Z. H., Shi J. H., Compact composition operators on the Bloch space in polydiscs, Science in China,Series A, 2001, 44(3): 286-291 (in Chinese).
[2] Zhou Z. H., Zeng S. B., Composition operator on the Lopschitz spaces in polydiscs, Science in China, SeriesA, 2002, 32(5): 385-389 (in Chinese).
[3] Shi J. H., Luo L., Composition operators on the Bloch space of several complex variables, Acta MathematicaSinica, English Series, 2000, 16(1): 85-98.
[4] Zhou Z. H., Zeng H. G., Composition operators between p-Bloch space and q-Bloch space in the unit ball,Progress in Natural Science, 2003, 13(3): 233-236.
[5] Zhou Z. H., Shi J. H., Composition operators on the Bloch space in polydiscs, Complex Variables, 2000,46(1): 73-88.
[6] Jiang L. J., He Y. Z., Composition operators from βα to F(p, q, s), Acta Math. Scientia, 2003, 23B(2):252-260.
[7] Zhang X. J., Composition operator from F(p, q, s) space to Bloch type spaces on the unit ball, Acta Math.Scientia, 2007, 27A(1): 019-026 (in Chinese).
[8] Zhou Z. H., Chen R. Y., Weighted composition operator from F(p, q, s) to Bloch type spaces on the unitball, International Journal of Mathematics, 2008, 8: 1-29.
[9] Zhang X. J., Extended Ces`aro operators on Dirichlet type spaces and Bloch type spaces of Cn, Chin. Ann.of Math., 2005, 26A(1): 139-150 (in Chinese).
[10] Zhang X. J., Xiao J. B., Weighted Composition operators between μ-Bloch spaces on the unit ball, Sciencein China, Series A, 2005, 35(6): 601-619 (in Chinese)
[11] Rudin W., Function Theory in the Unit Ball of Cn, Springer-Verlag, New York, 1980.
[12] Zhang X. J., Li J. X., Xiao J. B., Composition operators of from F(p, q, s) space to βq+n+1p type spaces inthe unit ball of Cn, Chin. Ann. of Math., 2008, 29A(6): 789-800 (in Chinese).
[13] Ye S. L., Weighted composition operator from F(p, q, s) into Loganithmic Bloch space, J. Korean Math.Soc., 2008, 45: 977-991.
[14] Lu X. F., Weighted composition operator from F(p, q, s) spaces to Bers-type spaces in the unit ball, App.Math J. Chinese Univ., 2009, 24(4): 462-472.
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