Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Zeros of functions with finite Dirichlet integral

Author(s): Stefan Richter; William T. Ross; Carl Sundberg
Journal: Proc. Amer. Math. Soc. 132 (2004), 2361-2365.
MSC (2000): Primary 30C15; Secondary 30C85
Posted: February 12, 2004
MathSciNet review: 2052414
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Abstract | References | Similar articles | Additional information

Abstract: In this paper, we refine a result of Nagel, Rudin, and Shapiro (1982) concerning the zeros of holomorphic functions on the unit disk with finite Dirichlet integral.

References:

1.: T. Bagby, Quasi topologies and rational approximation, J. Functional Analysis 10 (1972), 259-268. MR 50:7535
2.: K. Bogdan, On the zeros of functions with finite Dirichlet integral, Kodai Math. J. 19 (1996), no. 1, 7-16. MR 96k:30005
3.: L. Carleson, On the zeros of functions with bounded Dirichlet integrals, Math. Z. 56 (1952), 289-295. MR 14:458e
4.: P. L. Duren, Theory of ${H}\sp{p}$ spaces, Academic Press, New York, 1970.MR 42:3552
5.: A. Nagel, W. Rudin, and J. Shapiro, Tangential boundary behavior of functions in Dirichlet-type spaces, Ann. of Math. (2) 116 (1982), no. 2, 331-360.MR 84a:31002
6.: H. S. Shapiro and A. L. Shields, On the zeros of functions with finite Dirichlet integral and some related function spaces, Math. Z. 80 (1962), 217-229.MR 26:2617

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