References
[G] M. A. Girnyk,Approximation of a subharmonic function in the unit disk by the logarithm of an analytic function, Ukrainian Math. J., to appear.
[H] C. Horowitz,Zeros of functions in the Bergman spaces, Duke Math. J.41 (1974), 693–710.
[k] B. Korenblum,An extension of the Nevanlinna theory, Acta Math.135 (1975), 187–219.
[Le] B. Ya. Levin,On bases of exponential functions in L 2(−π,π), Zap. Mat. Otdel. Fiz.-Mat. Fak. i Kharkov Mat. Obshsc.27 (1961), 39–48 (in Russian).
[Lu] D. Luecking,Zero sequences for Bergman spaces, Complex Variables, to appear.
[LSe] Yu. I. Lyubarskii and K. Seip,Sampling and interpolation of entire functions and exponential systems in convex domains, Ark. Mat.32 (1994), 157–193.
[LSo] Yu. I. Lyubarskii and M. L. Sodin,Analogues of sine type functions for convex domains, Preprint no. 17, Inst. Low Temperature Phys. Engrg., Ukrainian Acad. Sci., Kharkov (1986) (in Russian).
[Se1] K. Seip,Regular sets of sampling and interpolation for weighted Bergman spaces, Proc. Amer. Math. Soc.117 (1993), 213–220.
[Se2] K. Seip,Beurling type density theorems in the unit disk, Invent. Math.113 (1993), 21–39.
[Se3] K. Seip,On a theorem of Korenblum, Ark. Mat.32 (1994), 237–243.
[Sp] E. J. Specht,Estimates on the mapping function and its derivative in conformal mapping of nearly circular regions, Trans. Amer. Math. Soc.71 (1951), 183–196.
[Z] K. Zhu,Operator Theory in Function Spaces, Marcel Dekker, New York, 1990.
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Seip, K. On Korenblum's density condition for the zero sequences of A−α . J. Anal. Math. 67, 307–322 (1995). https://doi.org/10.1007/BF02787795
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DOI: https://doi.org/10.1007/BF02787795