Inequalities associating hypergeometric functions with planar harmonic mappings.
Inextremization and Boundedness on Open Riemann Surfaces.
Integral averages of multiple Poisson kernels.
Integral averages of two generalizations of the Poisson kernel by Haruki and Rassias.
Integral representation for a class of multiply superharmonic functions
Let be harmonic spaces of Brelot with countable base of completely determining domains. The elements of a subcone of the cone of positive -superharmonic functions in is shown to have an integral representation with the aid of Radon measures on the extreme elements belonging to a compact base of . The extreme elements are shown to be the product of extreme superharmonic functions on the component spaces and the measure representing each element is shown to be unique. Necessary and sufficient...
Integrals of the Cauchy type
Internal and external one-sided homogeneous boundary value problems of conjugation for bicircular domains of the space .
Internal finite element approximation in the dual variational method for the biharmonic problem
A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with -elements. The convergence of the method is proved and an algorithm described.
Interpolation entre espaces d'Orlicz
Invariance of the Fredholm radius of an operator in potential theory
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.
Inverse mean value property of harmonic functions.
Inverse mean value property of harmonic functions (Corrigendum).
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.
Isoperimetric inequalities for capacities in the plane.