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http://dx.doi.org/10.4134/JKMS.2003.40.3.435

SOBOLEV-TYPE EMBEDDING THEOREMS FOR HARMONIC AND HOLOMORPHIC SOBOLEV SPACES  

Cho, Hong-Rae (Department of Mathematics Pusan National University)
Kwon, Ern-Gun (Department of Mathematics Education Andong National University)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 435-445 More about this Journal
Abstract
In this paper we consider Sobolev-type embedding theorems for harmonic and holomorphic Sobolev spaces on a bounded domain with $C^2$ boundary.
Keywords
Sobolev-type embedding; harmonic Sobolev space; holomorphic Sobolev space;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 F. Beatrous, $L^p$ estimates for extensions of holomorphic functions, Michigan Math. J. 32 (1985), 361–380.   DOI
2 F. Beatrous, Estimates for derivatives of holomorphic functions in pseudoconvex domains, Math. Z. 191 (1986), 91-116.   DOI
3 F. Beatrous and J. Burbea, Holomorphic Sobolev spaces on the ball, Dissertationes Math. 256 (1989), 1-57.
4 H. R. Cho and E. G. Kwon, Growth rate of the functions in Bergman type spaces, submitted
5 W. Rudin, Function theory in the unit ball of $C^n$, Spinger-Verlag, New York, 1980
6 E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N.J., 1970