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Extended Cesàro operators on mixed norm spaces
Author(s):
Zhangjian
Hu
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2171-2179.
MSC (2000):
Primary 47B38, 32A36
Posted:
December 30, 2002
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Abstract:
We define an extended Cesàro operator  with holomorphic symbol  in the unit ball  of  as
where  is the radial derivative of  . In this paper we characterize those  for which  is bounded (or compact) on the mixed norm space  .
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Additional Information:
Zhangjian
Hu
Affiliation:
Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang, 313000, People's Republic of China --- and --- Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599
Email:
huzj@mail.huptt.zj.cn, huz@email.unc.edu
DOI:
10.1090/S0002-9939-02-06777-1
PII:
S 0002-9939(02)06777-1
Keywords:
Ces\`{a}ro operator,
mixed norm space,
normal weight
Received by editor(s):
May 8, 2001
Received by editor(s) in revised form:
February 26, 2002
Posted:
December 30, 2002
Additional Notes:
This research was partially supported by the 151 Projection and the Natural Science Foundation of Zhejiang Province
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2002,
American Mathematical Society
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