Available in electronic format
Available in print format		 Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
Previous issue | Table of contents | Next issue
Articles in press | Recently posted articles | Most recent issue | All issues
Previous Article | Next Article
     

Hankel-type operators on the space of bounded harmonic functions

Author(s): Keiji Izuchi; Shûichi Ohno
Journal: Proc. Amer. Math. Soc. 134 (2006), 1359-1364.
MSC (2000): Primary 47B38, 30D55
Posted: October 7, 2005
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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)

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B38, 30D55

Retrieve articles in all Journals with MSC (2000): 47B38, 30D55

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: 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
Copyright of article: Copyright 2005, American Mathematical Society

Forward Citation(s):

Information for authors on submitting citations

The following works have cited this article

Keiji Izuchi and Shuichi Ohno, Hankel-type operators on the space of bounded harmonic functions, Proc. Amer. Math. Soc. 134 (2006), 1359-1364.

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement 		Search the AMSPowered by Google