Estimates for some functionals of bounded nonvanishing functions.
Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry
The rate of growth of the energy integral of a quasiregular mapping is estimated in terms of a special isoperimetric condition on . The estimate leads to new Phragmén-Lindelöf type theorems.
Estimates in the Hardy-Sobolev space of the annulus and stability result
The main purpose of this work is to establish some logarithmic estimates of optimal type in the Hardy-Sobolev space ; of an annular domain. These results are considered as a continuation of a previous study in the setting of the unit disk by L. Baratchart and M. Zerner, On the recovery of functions from pointwise boundary values in a Hardy-Sobolev class of the disk, J. Comput. Appl. Math. 46 (1993), 255–269 and by S. Chaabane and I. Feki, Optimal logarithmic estimates in Hardy-Sobolev spaces...
Estimates of derivatives and Schwarz derivatives for generalized Aharonov pairs and determination of the totality of extremal pairs
Estimates of logarithmic coefficients of univalent functions.
Estimates of the parameters of conformal mappings associated with a periodic Jacobi matrix.
Estimates of the real part of for some classes of univalent functions
Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains
We establish inequalities for Green functions on general bounded piecewise Dini-smooth Jordan domains in ℝ². This enables us to prove a new version of the 3G Theorem which generalizes its previous version given in [M. Selmi, Potential Anal. 13 (2000)]. Using these results, we give a comparison theorem for the Green kernel of Δ and the Green kernel of Δ - μ, where μ is a nonnegative and exact Radon measure.
Estimation of polynomial roots by continued fractions
Estimation of the sixth coefficient in the class of bounded univalent functions with real coefficients
Estimations of the coefficients of quasi-starlike functions
Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method
Euclidean quasiconvexity.
Euler-Summierbarkeit konform-äquivalenter Reihen.
Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials
2000 Mathematics Subject Classification: 12D10.In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs.Research partially supported by research project 20682 for cooperation...
Even coefficient estimates for bounded univalent functions
Extremal coefficient properties of Pick functions are proved. Even coefficients of analytic univalent functions f with |f(z)| < M, |z| < 1, are bounded by the corresponding coefficients of the Pick functions for large M. This proves a conjecture of Jakubowski. Moreover, it is shown that the Pick functions are not extremal for a similar problem for odd coefficients.
Exact coefficient estimates for univalent functions with quasiconformal extension.
Exhaustions of John domains.
Existence of quasi-isometric mappings and Royden compactifications.
Existenzbeweise für schlichte Abbildungen mehrfach zusammenhängender Bereiche auf gewisse Normalbereiche.