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math.AP2026
Dirichlet Green's functions with singular drifts at the boundary of convex domains
Aritro Pathak
In convex bounded domains in R^n with n >= 3, we establish interior pointwise upper bounds for the Dirichlet Green's function of elliptic operators in the unit ball B(0,1) in R^n,…
math.AP2026
On the dimension drop for harmonic measure on uniformly non-flat Ahlfors-David regular boundaries
Aritro Pathak
We extend earlier results of Azzam on the dimension drop of the harmonic measure for a domain with , with dimensional Ahlfors regular boundary $\partialΩ…