논문KCI 등재
Approximation by holomorphic functions of several complex variables
대한수학회 (The Korean Mathematical Society)|2020.09|대한수학회지 (Journal of the KMS)|제57권 제5호|pp. 1287-1298|DOI 10.4134/JKMS.j190635
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초록
Inspired by a classical approximation result of Bagemihl and Seidel on the disc, we provide generalized results on some proper domains in $\CC^n$ about approximation of a continuous function by a holomorphic function in the Mergelyan's style.
Abstract
Inspired by a classical approximation result of Bagemihl and Seidel on the disc, we provide generalized results on some proper domains in $\CC^n$ about approximation of a continuous function by a holomorphic function in the Mergelyan's style.
참고문헌 (10)
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- M. Hakim, "Boundary properties of holomorphic functions in the ball of Cn", Math. Ann, 276(4), pp.549~555 (1987)[DOI]
- K. Kikuchi, "Starlike and convex mappings in several complex variables", Pacic J. Math, 44, pp.569~580 (1973)
- S. G. Krantz, "Function Theory of Several Complex Variables" (2001), AMS Chelsea Publishing
- N. Levenberg, "Approximation in CN", Surv. Approx. Theory, 2, pp.92~140 (2006)
- S. N. Mergelyan, "Uniform approximations of functions of a complex variable", Uspehi Matem. Nauk (N.S.), 7(2(48)), pp.31~122 (1952)
- W. Rudin, "Classics in Mathematics" (2008), Springer-Verlag
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