POLAR SETS OF MULTIPARAMETER BIFRACTIONAL BROWNIAN SHEETS

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Let BH,K = {BH,K(t),t ∈ R+N} be an(N,d)-bifractional Brownian sheet with Hurst indices H =(H1,…,HN)∈(0,1)N and K =(K1,…,KN)∈(0,1]N.The properties of the polar sets of BH,K are discussed.The sufficient conditions and necessary conditions for a compact set to be polar for BH,K are proved.The infimum of Hausdorff dimensions of its non-polar sets are obtained by means of constructing a Cantor-type set to connect its Hausdorff dimension and capacity
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