A remark on polygonal quasiconformal maps.
A remark on the uniqueness of quasi continuous functions.
A remark on uniqueness of best rational approximants of degree 1 in of the circle.
A representation formula for radially weighted biharmonic functions in the unit disc.
A Riesz representation formula for super-biharmonic functions.
A Schwarz Lemma for harmonic and hyperbolic-harmonic functions in higher dimensions.
A Sharp Inequality for Subharmonic Functions on Two-Dimensional Manifolds.
A sharpening of a theorem of Bouligand. With an application to harmonic maps.
A Simplicial Characterization of Elliptic Harmonie Spaces.
A stability theorem for elliptic Harnack inequalities
We prove a stability theorem for the elliptic Harnack inequality: if two weighted graphs are equivalent, then the elliptic Harnack inequality holds for harmonic functions with respect to one of the graphs if and only if it holds for harmonic functions with respect to the other graph. As part of the proof, we give a characterization of the elliptic Harnack inequality.
A strong Liouville theorem for -harmonic functions on graphs.
A sub-regularity inequality for conjugate systems on local fields
A symmetrization inequality for plurisubharmonic functions.
A symmetry problem
Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.
A Tauberian Theorem and Tangential Convergence for Bounded Harmonic Functions on Balls in ...n.
A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
A trace inequality for generalized potentials
A unicity theorem for plurisubharmonic functions
We give sufficient conditions for unicity of plurisubharmonic functions in Cegrell classes.
A Unified Theory of Harmonic Measures and Capacitary Potentials.
A uniform boundary Harnack inequality on non-tangentially accessible domains.