DOUGLAS R G, KESHARI D K, XU A J. Generalized Bundle Shift with Application to Multiplication Operator on the Bergman Space[J]. J Operator Theory, 2016, 75(1): 3-19. doi: 10.7900/jot.2014sep05.2051
|
DOUGLAS R G, PUTINAR M, WANG K. Reducing Subspaces for Analytic Multipliers of the Bergman Space[J]. J Funct Anal, 2012, 263(6): 1744-1765. doi: 10.1016/j.jfa.2012.06.008
|
DOUGLAS R G, SUN S H, ZHENG D C. Multiplication Operators on the Bergman Space Via Analytic Continuation[J]. Adv Math, 2011, 226(1): 541-583. doi: 10.1016/j.aim.2010.07.001
|
HU J Y, SUN S H, XU X M, et al. Reducing Subspace of Analytic Toeplitz Operators on the Bergman Space[J]. Integral Equations and Operator Theory, 2004, 49(3): 387-395. doi: 10.1007/s00020-002-1207-7
|
ZHU K H. Reducing Subspaces for a Class of Multiplication Operators[J]. J London Math Soc, 2000, 62(2): 553-568. doi: 10.1112/S0024610700001198
|
THOMSON J E. The Commutant of a Class of Analytic Toeplitz Operators[J]. Amer J Math, 1977, 99: 522-529. doi: 10.2307/2373929
|
陈雪, 黄穗. 调和Fock空间[J]. 西南师范大学学报(自然科学版), 2020, 45(2): 26-30.
|
刘妮, 郭艳鹂, 任谨慎, 等. 幂等算子核空间的刻画[J]. 西南大学学报(自然科学版), 2020, 42(8): 102-105.
|
CHEN X M, GUO K Y. Analytic Hilbert Modules[M]. London: A CRC Press Company, 2003.
|
IZUCHI K, YANG R W. Nϕ-Type Quotient Modules on the Torus[J]. New York J Math, 2008, 14: 431-457.
|
RUDIN W. Function Theory in Polydiscs[M]. New York: W. A. Benjamin Inc, 1969.
|
GUO K Y, SUN S H, ZHENG D C, et al. Multiplication Operators on the Bergman Space Via the Hardy Space of the Bidisk[J]. J Reine Angew Math, 2009, 628: 129-168.
|
KOBAYASHI S. Differential Geometry of Complex Vector Bundles[M]. Tokyo: Princeton University Press, 1987.
|
GRAUERT H. Analytische Faserungen uber Holomorph Vollstandigen Raumen[J]. Math Ann, 1958, 135: 263-273. doi: 10.1007/BF01351803
|
MISRA G, REZA M R. Curvature Inequalities and Extremal Operators[J]. Illinois J Math, 2019, 63(2): 193-217.
|
XU A J. Reductivity and Bundle Shifts[J]. Appl Math J Chinese Univ (Ser B), 2019, 34(1): 27-32. doi: 10.1007/s11766-019-3395-9
|
XU A J. Reducing Subspaces of Analytic Toeplitz Operators on the Bergman Space of the Annulus[J]. Complex Anal Oper Theory, 2019, 13(8): 4195-4206. doi: 10.1007/s11785-019-00957-4
|
STEPHENSON K. Analytic Functions and Hypergroups of Function Pairs[J]. Indiana University Mathematics Journal, 1982, 31(6): 843-884. doi: 10.1512/iumj.1982.31.31059
|