|
The rank of Hankel operators on harmonic Bergman spaces
Author(s):
Lova
Zakariasy
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1177-1180.
MSC (2000):
Primary 47B35
Posted:
November 4, 2002
MathSciNet review:
1948109
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We show that on the harmonic Bergman spaces, the Hankel operators with nonconstant harmonic symbol cannot be of finite rank.
References:
-
- 1.
- N. Das, The kernel of a Hankel operator on the Bergman space, Bull. London Math. Soc. 31 (1999), 75-80. MR 99j:47034
- 2.
- M. Jovovic, Compact Hankel operators on Harmonic Bergman spaces, Integral Equations Operator Theory, Vol. 22, 1995, 295-304. MR 96d:47031
- 3.
- E. Strouse, Finite rank intermediate Hankel operators, Arch. Math. (Basel), Vol. 67, 1996, 142-149. MR 97i:47047
- 4.
- Z. Wu, Operators on harmonic Bergman spaces, Integral Equations Operator Theory, Vol. 24, 1996, 352-371. MR 97c:47028
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
47B35
Retrieve articles in all Journals with
MSC (2000):
47B35
Additional Information:
Lova
Zakariasy
Affiliation:
Department of Mathematics, University of Bordeaux I, 351, cours de la Liberation, 33045 Talence cedex, France
Email:
lova.zakariasy@math.u-bordeaux.fr
DOI:
10.1090/S0002-9939-02-06638-8
PII:
S 0002-9939(02)06638-8
Keywords:
Hankel operators,
harmonic Bergman spaces
Received by editor(s):
September 14, 2001
Received by editor(s) in revised form:
November 11, 2001
Posted:
November 4, 2002
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2002,
American Mathematical Society
|
