HOLOMORPHIC FUNCTIONS SATISFYING MEAN LIPSCHITZ CONDITION IN THE BALL

Title & Authors
HOLOMORPHIC FUNCTIONS SATISFYING MEAN LIPSCHITZ CONDITION IN THE BALL
Kwon, Ern-Gun; Koo, Hyung-Woon; Cho, Hong-Rae;

Abstract
Holomorphic mean Lipschitz space is defined in the unit ball of $\small{\mathbb{C}^n}$. The membership of the space is expressed in terms of the growth of radial derivatives, which reduced to a classical result of Hardy and Littlewood when n
Keywords
Lipschitz space;mean Lipschitz space;
Language
English
Cited by
1.
FATOU THEOREM AND EMBEDDING THEOREMS FOR THE MEAN LIPSCHITZ FUNCTIONS ON THE UNIT BALL,;;

대한수학회논문집, 2009. vol.24. 2, pp.187-195
References
1.
P. Ahern and J. Bruna, Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \$C^n\$, Rev. Mat. Iberoamericana 4 (1988), no. 1, 123-153

2.
P. L. Duren, Theory of \$H^p\$ spaces, Pure and Applied Mathematics, Vol. 38 Academic Press, New York-London, 1970

3.
M. Jevtic and M. Pavlovic, On M-harmonic Bloch space, Proc. Amer. Math. Soc. 123 (1995), no. 5, 1385-1392

4.
W. Rudin, Function theory in the unit ball of \$C^n\$, Grundlehren der Mathematischen Wissenschaften, 241. Springer-Verlag, New York-Berlin, 1980