GROWTH NORM ESTIMATES FOR ¯∂ ON CONVEX DOMAINS

Title & Authors
GROWTH NORM ESTIMATES FOR ¯∂ ON CONVEX DOMAINS
Cho, Hong-Rae; Kwon, Ern-Gun;

Abstract
We consider the growth norm of a measurable function f defined by defined by {\parallel}f{\parallel}-\sigma
Keywords
growth norm estimates for $\ Language English Cited by References 1. H. Ahn and H. R. Cho, Zero sets of holomorphic functions in the Nevanlinna type class on convex domains in$C^2$, Japan. J. Math. (N.S.) 28 (2002), no. 2, 245-260 2. F. Beatrous, Estimates for derivatives of holomorphic functions in pseudoconvex domains, Math. Z. 191 (1986), 91-116 3. F. Beatrous and J. Burbea, Holomorphic Sobolev spaces on the ball, Dissertationes Math. 256 (1989), 1-57 4. B. Berndtsson and M. Andersson, Henkin-Ramirez formulas with weight factors, Ann. Inst. Fourier 32 (1982), 91-110 5. H. R. Cho, Estimates on the mean growth of Hp functions in convex domains of finite type, Proc. Amer. Math. Soc. 131 (2003), no. 8, 2393-2398 6. H. R. Cho and E. G. Kwon, Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with$C^2$boundary, Illinois J. Math. 48 (2004), 747-757 7. P. L. Duren, Theory of$H^p$spaces, Academic Press, New York, 1970 8. J. C. Polking, The Cauchy-Riemann equations in convex domains, Proc. Symp. Pure Math. 52 (1991), 309-322 9. M. Range, Holomorphic functions and integral representations in several complex variables, Springer Verlag, Berlin, 1986 10. M. Range, On Holder and BMO estimates for$\bar{a}$on convex domains in$C^2\$, Journal Geom. Anal. 2 (1992), no. 4, 575-584