Inverse images of function sectors in the weighted Bergman space.
Invertible harmonic mappings beyond the Kneser theorem and quasiconformal harmonic mappings
We extend the Rado-Choquet-Kneser theorem to mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary without restriction on the convexity of image domain. The proof is based on a recent extension of the Rado-Choquet-Kneser theorem by Alessandrini and Nesi and it uses an approximation scheme. Some applications to families of quasiconformal harmonic mappings between Jordan domains are given.
Irreducible polynomials with all but one zero close to the unit disk
We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.
Isometrische und Konforme Verheftung
Isomorphisms of the Disc Algebra and Iverse Faber Sets.
Isoperimetric inequalities for capacities in the plane.
Isoperimetric inequality for torsional rigidity in the complex plane.
Iterated Laguerre and Turán inequalities.
Itération des polynômes et propriétés d'orthogonalité