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SOBOLEV-TYPE EMBEDDING THEOREMS FOR HARMONIC AND HOLOMORPHIC SOBOLEV SPACES
Journal title :
Journal of the Korean Mathematical Society
Volume 40, Issue 3,
2003, pp.435-445
Publisher :
The Korean Mathematical Society
DOI :
10.4134/JKMS.2003.40.3.435
Title & Authors
SOBOLEV-TYPE EMBEDDING THEOREMS FOR HARMONIC AND HOLOMORPHIC SOBOLEV SPACES
Cho, Hong-Rae; Kwon, Ern-Gun;
Abstract
In this paper we consider Sobolev-type embedding theorems for harmonic and holomorphic Sobolev spaces on a bounded domain with
boundary.
Keywords
Sobolev-type embedding;harmonic Sobolev space;holomorphic Sobolev space;
Language
English
Cited by
1time(s) in
CrossRef
1.
The Mixed Norm Spaces of Polyharmonic Functions, Potential Analysis, 2007, 27, 2, 167
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F. Beatrous and J. Burbea, Holomorphic Sobolev spaces on the ball, Dissertationes Math. 256 (1989), 1-57.
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H. R. Cho and E. G. Kwon, Growth rate of the functions in Bergman type spaces, submitted
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W. Rudin, Function theory in the unit ball of
$C^n$
, Spinger-Verlag, New York, 1980
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E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N.J., 1970