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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.
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참고문헌 (10)
참고문헌 신청
F. Bagemihl / 1954 / Some boundary properties of analytic functions / Math. Z 61:186~199
Ph. Charpentier / 1994 / Approximation par des fonctions holomorphes a croissance controlee / Publ. Mat 38(2):269~298
J. Garnett / 1968 / On a theorem of Mergelyan / Pacic J. Math 26:461~467
S. Gong / 1998 / Convex and starlike mappings in several complex variables, Mathematics and its Applications (China Series) / Kluwer Academic Publishers
M. Hakim / 1987 / Boundary properties of holomorphic functions in the ball of Cn / Math. Ann 276(4):549~555
Ph. Charpentier / 1994 / Approximation par des fonctions holomorphes a croissance controlee / Publ. Mat 38(2):269~298
J. Garnett / 1968 / On a theorem of Mergelyan / Pacic J. Math 26:461~467
S. Gong / 1998 / Convex and starlike mappings in several complex variables, Mathematics and its Applications (China Series) / Kluwer Academic Publishers
M. Hakim / 1987 / Boundary properties of holomorphic functions in the ball of Cn / Math. Ann 276(4):549~555
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