Polar sets of multiparameter bifractional Brownian sheets

Let 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.