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Hankel-type operators on the space of bounded harmonic functions
Authors:
Keiji Izuchi and Shûichi Ohno
Journal:
Proc. Amer. Math. Soc. 134 (2006), 1359-1364
MSC (2000):
Primary 47B38, 30D55
Posted:
October 7, 2005
MathSciNet review:
2199180
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Abstract: We study Hankel-type operators on the space of bounded harmonic functions on the open unit disk. These operators are related to tight uniform algebras, the Dunford-Pettis property, and Bourgain algebras.
References
- 1.
J. Dudziak, T. W. Gamelin and P. Gorkin, Hankel operators on bounded analytic functions, Trans. Amer. Math. Soc. 352 (2000), 363-377. MR 1473437 (2000c:47049)
- 2.
J. B. Garnett, Bounded Analytic Functions, Academic Press, New York, 1981. MR 0628971 (83g:30037)
- 3.
P. Gorkin, Hankel-type operators, Bourgain algebras, and uniform algebras, Holomorphic Spaces (Berkeley, CA, 1995), 121-134, Math. Sci. Res. Inst. Publ. 33, Cambridge Univ. Press, Cambridge, 1998.MR 1630647 (99g:47052)
- 4.
K. Izuchi, K. Stroethoff and K. Yale, Bourgain algebras of spaces of harmonic functions, Michigan Math. J. 41 (1994), 309-321. MR 1278437 (95d:46051)
- 5.
S. Saccone, Tight uniform algebras, Holomorphic Spaces (Berkeley, CA, 1995), 135-154, Math. Sci. Res. Inst. Publ. 33, Cambridge Univ. Press, Cambridge, 1998.MR 1630648 (2000a:46085)
- 6.
D. Sarason, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc. 207 (1975), 391-405. MR 0377518 (51:13690)
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Additional Information
Keiji Izuchi
Affiliation:
Department of Mathematics, Niigata University, Niigata, 950-2181, Japan
Email:
izuchi@math.sc.niigata-u.ac.jp
Shûichi Ohno
Affiliation:
Nippon Institute of Technology, Miyashiro, Minami-Saitama 345-8501, Japan
Email:
ohno@nit.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08080-9
PII:
S 0002-9939(05)08080-9
Keywords:
Hankel-type operators,
Banach space of bounded harmonic functions
Received by editor(s):
September 15, 2004
Received by editor(s) in revised form:
November 29, 2004
Posted:
October 7, 2005
Dedicated:
Dedicated to Professor Kazuyuki Tsurumi on the occasion of his 70th birthday
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2005 American Mathematical Society
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