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The pseudohyperbolic metric and Bergman spaces in the ball
Author(s):
Peter
Duren;
Rachel
Weir
Journal:
Trans. Amer. Math. Soc.
359
(2007),
63-76.
MSC (2000):
Primary 32A36;
Secondary 30H05
Posted:
May 9, 2006
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Additional information
Abstract:
The pseudohyperbolic metric is developed for the unit ball of and is applied to a study of uniformly discrete sequences and Bergman spaces of holomorphic functions on the ball.
References:
-
- 1.
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- 2.
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- 3.
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- 5.
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- 8.
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interpolation in the unit ball, J. London Math. Soc. 52 (1995), 391-401. MR 1356150 (96f:32020) - 11.
- V. L. Oleinik, Embedding theorems for weighted classes of harmonic and analytic functions, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 9 (1978), 228-243, J. Soviet Math.
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- 13.
- W. Rudin, Function Theory in the Unit Ball of
, Springer-Verlag, New York, 1980. MR 0601594 (82i:32002)
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Additional Information:
Peter
Duren
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109--1109
Email:
duren@umich.edu
Rachel
Weir
Affiliation:
Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Address at time of publication:
Department of Mathematics, Allegheny College, 520 N. Main Street, Meadville, Pennsylvania 16335
Email:
rw8t@virginia.edu
DOI:
10.1090/S0002-9947-06-04064-5
PII:
S 0002-9947(06)04064-5
Received by editor(s):
September 15, 2004
Posted:
May 9, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
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