International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 3, Pages 435-443
doi:10.1155/S0161171281000306
Growth of HP functions in tubes
Richard D. Carmichael
and Stephen P. Richters
Department of Mathematics, Wake Forest University, Winston-Salem 27109, North Carolina, USA
Abstract
Let C be an open convex cone in n dimensional real space Rn such that C¯ does not contain any entire straight line. We obtain a growth condition on functions in the Hardy spaces HP(TC), 1≤p≤∞, corresponding to the tube TC=Rn+iC in n dimensional complex space ℂn.