In this paper we establish large increment results and moduli of continuty
for a two-parameter fractional Levy Brownian motion on rectangles in the Eu
clidean plane via estimating upper bounds of large deviation probabilities
on suprema of the two-parameter fractional Levy Brownian motion. (C) 1999 P
ublished by Elsevier Science B.V. All rights reserved. MSC. 60F15; 60G17.