The paper extends nonlocal ABP, Harnack and Hölder regularity to arbitrary anisotropic exponents b_i and 0<s<4/bmax, but the written proof has a gap in the barrier construction.
and Calder´ on, C.P., On Abel summability of multiple Jac obi series, Colloq
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On the H\"older regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian
The paper extends nonlocal ABP, Harnack and Hölder regularity to arbitrary anisotropic exponents b_i and 0<s<4/bmax, but the written proof has a gap in the barrier construction.