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We investigate the boundary values of the holomorphic mean Lipschitz function.
In fact, we prove that the admissible limit exists at every boundary point of the unit ball for the holomorphic mean Lipschitz functions under some assumptions on the Lipschitz order.
Moreover, we get embedding theorems of holomorphic mean Lipschitz spaces into Hardy spaces or into the Bloch space on the unit ball in C^n.
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참고문헌 (6)
참고문헌 신청
M. Nozomu / 1988 / Inequalities of Fejer-Riesz and Hardy-Littlewood / Tohoku Math. J. (2) 40 (1) : 77 ~ 86
O. Blasco / 1998 / Mean growth of the derivative of analytic functions, bounded mean oscillation, and normal functions / Indiana Univ. Math. J. 47 (3) : 893 ~ 912
P. Ahern / 1989 / Exceptional Sets for Hardy Sobolev Functions, p > 1 / Indiana Univ. Math. J. 38 (2) : 417 ~ 453
P. L. Duren / 1970 / Theory of Hp Spaces / Academic Press
R. M. Range / 1986 / Holomorphic Functions and Integral Representations in Several Complex Variables, (GTM 108) / Springer-Verlag
O. Blasco / 1998 / Mean growth of the derivative of analytic functions, bounded mean oscillation, and normal functions / Indiana Univ. Math. J. 47 (3) : 893 ~ 912
P. Ahern / 1989 / Exceptional Sets for Hardy Sobolev Functions, p > 1 / Indiana Univ. Math. J. 38 (2) : 417 ~ 453
P. L. Duren / 1970 / Theory of Hp Spaces / Academic Press
R. M. Range / 1986 / Holomorphic Functions and Integral Representations in Several Complex Variables, (GTM 108) / Springer-Verlag
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