Invariant sets for -harmonic measure.
Invariant subspaces on open Riemann surfaces. II
We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.
Invariant systems of conjugate harmonic functions associated with compact Lie groups
Inverse mean value property of harmonic functions.
Inverse mean value property of harmonic functions (Corrigendum).
Inverse problems for the volume potential
Inverse source problem in a 3D ball from best meromorphic approximation on 2D slices.
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.
Isomorphie harmonischer Räume.
Isoperimetric inequalities for capacities in the plane.
Iterated integral operators in Clifford analysis.
Jeden příklad harmonického svazku
Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in ℝ²
This paper is concerned with jump conditions for the double layer potential associated with the two-dimensional Helmholtz equation for Hölder continuous boundary data on arbitrary rectifiable Jordan closed curves in ℝ².
Jump processes, ℒ-harmonic functions, continuity estimates and the Feller property
Given a family of Lévy measures ν={ν(x, ⋅)}x∈ℝd, the present work deals with the regularity of harmonic functions and the Feller property of corresponding jump processes. The main aim is to establish continuity estimates for harmonic functions under weak assumptions on the family ν. Different from previous contributions the method covers cases where lower bounds on the probability of hitting small sets degenerate.
Kapazitäten und obere Einhüllende von Maßen.
Kernels and Choquet capacities.
Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space II
This work is concerned with the existence and regularity of solutions to the Neumann problem associated with a Ornstein–Uhlenbeck operator on a bounded and smooth convex set K of a Hilbert space H. This problem is related to the reflection problem associated with a stochastic differential equation in K.
Konvergenzeigenschaften in harmonischen Räumen.
Krasnoselskii-type fixed point theorems under weak topology settings and applications.
-approximation of generalized biaxially symmetric potentials over Carathéodory domains