Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (4): 1427-1440.
• Articles • Previous Articles
Maofa WANG1, Xingxing YAO2, Fangwen DENG3
Received:2015-12-01
Revised:2018-05-06
Online:2018-08-25
Published:2018-08-25
Contact:
Xingxing YAO,E-mail:xxyao.math@whu.edu.cn
E-mail:xxyao.math@whu.edu.cn
Supported by:Maofa WANG, Xingxing YAO, Fangwen DENG. WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES[J].Acta mathematica scientia,Series B, 2018, 38(4): 1427-1440.
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| [1] | Bayart F. Hardy spaces of Dirichlet series and their composition operators. Monatsh Math, 2002, 136:203-236 |
| [2] | Bayart F. Compact composition operators on a Hilbert space of Dirichlet series. Illinois J Math, 2003, 47:725-743 |
| [3] | Bohr H. Über die gleichmässige Konvergenz Dirichletscher Reihen. J Reine Angew Math, 1913, 143:203-211 |
| [4] | Contreras M, Hernández-Díaz A. Weighted composition operators on Hardy spaces. J Math Anal Appl, 2011, 263:224-233 |
| [5] | Cowen C, Ko E. Hermitian weighted composition operators. Trans Amer Math Soc, 2010, 362:5771-5801 |
| [6] | Cowen C, MacCluer B. Composition Operators on Spaces of Analytic Functions. Boca Raton:CRC Press, 1995 |
| [7] | Forelli F. The isometries of Hp. Canad J Math, 1964, 16:721-728 |
| [8] | Gordon J, Hedenmalm H. The composition operators on the space of Dirichlet series with square summable coefficients. Michigan Math J, 1999, 46:313-329 |
| [9] | Gunatillake G. Spectrum of a compact weighted compoition operator. Proc Amer Math Soc, 2007, 135:461-467 |
| [10] | Gunatillake G. Invertible weighted composition operators. J Funct Anal, 2011, 261:831-860 |
| [11] | Hu B, Khoi L, Zhao R. Topological structure of the space of composition operators on Hilbert spaces of Dirichlet series. Z Anal Anwend, 2016, 35:267-284 |
| [12] | Kolaski C. Isometries of weighted Bergman spaces. Canad J Math, 1982, 34:910-915 |
| [13] | Müller V. Spectral Theory of Linear Operators. Birkhäuser, 2003 |
| [14] | Queffélec H, Seip K. Approximation numbers of composition operators on the H2 space of Dirichlet series. J Funct Anal, 2015, 268:1612-1648 |
| [15] | Rudin W. Real and Complex Analysis. 2nd ed. New York:Mcgraw-Hill, 1974 |
| [16] | Shapiro J. Composition Operators and Classical Function Theory. New York:Springer, 1993 |
| [17] | Wang M. Weighted composition operators between Dirichlet spaces. Acta Math Sci, 2011, 31B(2):641-651 |
| [18] | Wang M, Yao X. Some properties of composition operators on Hilbert spaces of Dirichlet series. Complex Var Elliptic Equ, 2015, 60:992-1004 |
| [19] | Zhu K. Operator theory in function spaces//Mathematical Surveys and Monographs, Vol 138. Providence RI:Amer Math Soc, 2007 |
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