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Boundedness of the Bergman type operators on mixed norm spaces
Author(s):
Yongmin
Liu
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2363-2367.
MSC (2000):
Primary 47B38;
Secondary 32A30, 46E15
Posted:
January 23, 2002
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Abstract:
Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces  of functions on the unit ball of  are given, and this is used to solve Gleason's problem for the mixed norm spaces  .
References:
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 , Science in China, 23A(8)(1993): 811-818. MR 95b:47030 - 7.
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Additional Information:
Yongmin
Liu
Affiliation:
Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, People's Republic of China
Email:
minliu@263.net
DOI:
10.1090/S0002-9939-02-06332-3
PII:
S 0002-9939(02)06332-3
Keywords:
Bergman type operator,
normal function,
boundedness,
H\"older inequality,
Gleason's problem
Received by editor(s):
November 14, 2000
Received by editor(s) in revised form:
March 19, 2001
Posted:
January 23, 2002
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2002,
American Mathematical Society
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Hu, Zhangjian, The Gleason's problem on mixed norm spaces in convex domains, SCIENCE IN CHINA (Series A) (6) 46 (2003), 827-837. (English) MR MR2029194
Zhangjian Hu, Gleason's problem for harmonic mixed norm and Bloch spaces in convex domains, Mathematische Nachrichten 279 , no. 1-2, (2006), 164--178. (English) MR 2006j:46039
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