ON SOME HARMONIC FUNCTIONS RELATED TO HOLOMORPHIC FUNCTIONS WITH A POSITIVE REAL PART
Journal Title: Проблемы анализа-Issues of Analysis - Year 2004, Vol 11, Issue
Abstract
In the paper we examine some holomorphic functions and complex harmonic functions, which satisfy certain conditions of a Mocanu kind. We also consider their relations with appropriate coefficient conditions. The paper is a natural supplement to the results published in [1] and [2].
Authors and Affiliations
Z. J. JAKUBOWSKI, A. LAZINSKA
Sufficient conditions of α-accessibility of domain in nonsmooth case
В работе существенно усилен результат, полученный в [1], где для непрерывной функции F(х), дифференцируемой по направлениям в R n\{0} были получены условия альфа-достижимости области, определяемой неравенством F(х)<0. По...
STRUCTURE OF KELLER MAPPINGS, TWO-DIMENSIONAL CASE
A Keller map is a polynomial mapping ƒ : Rⁿ → Rⁿ (or Cⁿ → Cⁿ) with the Jacobian Jƒ ≡ const ≠ 0. The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of a Keller...
РАЗЛОЖЕНИЕ ПО СОБСТВЕННЫМ ФУНКЦИЯМ ДЛЯ НЕКОТОРЫХ ФУНКЦИОНАЛЬНО-ДИФФЕРЕНЦИАЛЬНЫХ ОПЕРАТОРОВ
We prove the completness of the eigenfunctions of some boundary function-differental problems.
FAMILIES OF ELLIPTIC FUNCTIONS AND UNIFORMIZATION OF COMPLEX TORI WITH A UNIQUE POINT OVER INFINITY
We investigate the problem of describing a one-parametric family of elliptic functions which uniformizes a given family of ramified coverings of the Riemann sphere with maximal possible ramification over infinity. We fin...
ON SOME EXTREMAL PROBLEMS IN CERTAIN HARMONIC FUNCTION SPACES OF SEVERAL VARIABLES RELATED TO MIXED NORM SPACES
In this paper we provide some (not new) estimates on distances from our two previous papers together with some new estimates. Namely some estimates on distances in spaces of harmonic functions in the unit ball and the up...