Some Limit Theorems on the Increments of l^p-valued Multi-Parameter Gaussian Processes

In this paper,we establish some limit theorems on the increments of an l^p-valued multi- parameter Gaussian process under weaker conditions than those of Cs(?)rg(?)-Shao theorems published in Ann.Probab.(1993).

Functional Limit Theorems for C-R Increments of lp-Valued Wiener Processes in the Norm

In this paper, based on accurately large deviation formulae established in strong topology generated by the Holder norm for l^2-valued Wiener processes, we obtain the functional limit theorems for C-R increments of l^p-valued Wiener processes in the Holder norm.

Path properties of l_p-valued Gaussian random fields

General limit theorems are established for l^p-valued Gaussian random fields indexed by a multidimensional parameter,which contain both almost sure moduli of continuity and limits of large increments for the l^p-valued Gaussian random fields under(?)explicit conditions.