Point Systems with Extremal Properties and Conformal Mapping.
Pointwise inequalities of logarithmic type in Hardy-Hölder spaces
We prove some optimal logarithmic estimates in the Hardy space with Hölder regularity, where is the open unit disk or an annular domain of . These estimates extend the results established by S. Chaabane and I. Feki in the Hardy-Sobolev space of the unit disk and those of I. Feki in the case of an annular domain. The proofs are based on a variant of Hardy-Landau-Littlewood inequality for Hölder functions. As an application of these estimates, we study the stability of both the Cauchy problem...
Polarization, conformal invariants and Brownian motion.
Polya's theorem for non-entire functions
Polynômes à coefficients unimodulaires sur le cercle unité
Polynômes quadratiques et attracteur de Hénon
Polynomial Growth along Jordan Arcs.
Polynomials of Maximal Index.
Polynomials, sign patterns and Descartes' rule of signs
By Descartes’ rule of signs, a real degree polynomial with all nonvanishing coefficients with sign changes and sign preservations in the sequence of its coefficients () has positive and negative roots, where and . For , for every possible choice of the sequence of signs of coefficients of (called sign pattern) and for every pair satisfying these conditions there exists a polynomial with exactly positive and exactly negative roots (all of them simple). For this is not...
Positive trigonometric sums and applications.
Power series and zeroes of trinomial equations.
Power series and zeroes of trinomial equations. (Summary).
Power series with integer coefficients in several variables.
Prestarlike functions with negative coefficients.
Příspěvek k teorii funkcí prostých
Probleme und Methoden für schlichte Funktionen.
Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods.
Problems Concerning Subclasses of Analytic Functions
In the present paper, we establish some interesting results concerning the quasi-Hadamard product for certain subclasses of analytic functions.
Problems of the extremal decomposition of the Riemannian sphere. III.
Projections onto gradient fields and -estimates for degenerated elliptic operators