  We determine the exact Hausdorff measure functions for the range and level
sets of a class of Gaussian random fields satisfying sectorial local
nondeterminism and other assumptions. We also establish a Chung-type law of the
iterated logarithm. The results can be applied to the Brownian sheet,
fractional Brownian sheets whose Hurst indices are the same in all directions,
and systems of linear stochastic wave equations in one spatial dimension driven
by space-time white noise or colored noise.
