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Kaptano˘ glu, Carleson Measures for Besov Spaces on the Ball with Applications, J. Funct. Anal. (2007) (to appear). ¨ [25] H. T. Kaptano˘ glu and A. E. Ureyen, Analytic Properties of Besov Spaces via Bergman Projections, Contemp. Math. (2007) (to appear). [26] Y. F. Lu and S. H. Sun, Toeplitz Operators on Dirichlet Spaces, Acta Math. Sin. 17 (2001), 643–648. [27] D. H. Luecking, Trace Ideal Criteria for Toeplitz Operators, J. Funct. Anal. 73 (1987), 345–368. [28] D. H. Luecking and K. Zhu, Composition Operators Belonging to Schatten Ideals, Amer.

Ad ) into another tuple a = (a1 , . . , ad ). If ΩH is a common eigenvector for the adjoints a∗i then ΩH is also a common eigenvector for the adjoints (ai )∗ but of course the eigenvalues are transformed to another tuple ω = (ω1 , . . , ωd ). We should consider the tuples a and a to be essentially the same. This also means that the complex numbers ωi are not particularly important and they should not play a role in classiﬁcation. They just reﬂect a certain choice of orthonormal basis in the relevant metric operator space.

Funct. Anal. (2007) (to appear). ¨ [25] H. T. Kaptano˘ glu and A. E. Ureyen, Analytic Properties of Besov Spaces via Bergman Projections, Contemp. Math. (2007) (to appear). [26] Y. F. Lu and S. H. Sun, Toeplitz Operators on Dirichlet Spaces, Acta Math. Sin. 17 (2001), 643–648. [27] D. H. Luecking, Trace Ideal Criteria for Toeplitz Operators, J. Funct. Anal. 73 (1987), 345–368. [28] D. H. Luecking and K. Zhu, Composition Operators Belonging to Schatten Ideals, Amer. J. Math. 114 (1992), 1127–1145.