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In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator TzN 1- zM2 on the Bergman space A2(D2), where N and M are positive integers.
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참고문헌 (16)
참고문헌 신청
H. Dan / 2014 / Multiplication operators defined by a class of polynomials on L2α(D2) / Integral Equations Operator Theory 80 (4) : 581 ~ 601
J. Hu / 2004 / Reducing subspace of analytic Toeplitz operators on the Bergman space / Integral Equations Operator Theory 49 (3) : 387 ~ 395
K. Guo / 2009 / Multiplication operators on the Bergman space via the Hardy space of the bidisk / J. Reine Angew. Math 628 : 129 ~ 168
K. Guo / 2011 / Multiplication operators defined by covering maps on the Bergman space: the connection between operator theory and von Neumann algebras / J. Funct. Anal 260 (
K. Guo / 2011 / On multiplication operators on the Bergman space: Similarity, unitary equivalence and reducing subspaces / J. Operator Theory 65 (2) : 355 ~ 378
J. Hu / 2004 / Reducing subspace of analytic Toeplitz operators on the Bergman space / Integral Equations Operator Theory 49 (3) : 387 ~ 395
K. Guo / 2009 / Multiplication operators on the Bergman space via the Hardy space of the bidisk / J. Reine Angew. Math 628 : 129 ~ 168
K. Guo / 2011 / Multiplication operators defined by covering maps on the Bergman space: the connection between operator theory and von Neumann algebras / J. Funct. Anal 260 (
K. Guo / 2011 / On multiplication operators on the Bergman space: Similarity, unitary equivalence and reducing subspaces / J. Operator Theory 65 (2) : 355 ~ 378
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