ON SOME EXTREMAL PROBLEMS IN CERTAIN HARMONIC FUNCTION SPACES OF SEVERAL VARIABLES RELATED TO MIXED NORM SPACES
Journal Title: Проблемы анализа-Issues of Analysis - Year 2013, Vol 2, Issue 1
Abstract
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 upper half space are provided. New estimates concerning mixed norm spaces and general weighted Bergman spaces are obtained and discussed.
Authors and Affiliations
R. F. Shamoyan
Keywords
Related Articles
- EP ID EP234555
- DOI 10.15393/j3.art.2013.2324
- Views 96
- Downloads 0
REDUCED p-MODULUS, p-HARMONIC RADIUS AND p-HARMONIC GREEN’S MAPPINGS
We consider the definitions and properties of the metric characteristics of the spatial domains previously introduced by the author, and their connection with the class of mappings, the particular case of which are the h...
EXTENSION OF STARLIKE FUNCTIONS TO A FINITELY PUNCTURED PLANE
We consider a sequence of functions which are starlike in the unit disk and their logarithmic derivatives are meromorphic with a finite number of simple poles in any boundary domain. These poles are either boundary deter...
Growth theorems on classes of normalized locally quasiconformal mappings
В классах локально-квазиконформных нормированных автоморфизмов f единичного круга Δ с заданной мажорантой характеристики М. А. Лаврентьева получены асимптотически точные оценки |f(z)|, родственные классическому неравенст...
ТЕОРЕМА ИСКАЖЕНИЯ В ОДНОМ ПОДКЛАССЕ МЕРОМОРФНЫХ И ОДНОЛИСТНЫХ В ЕДИНИЧНОМ КРУГЕ ФУНКЦИЙ
It is obtained some estimates for functions from C_0 subset of meromorphic univalent in the unit disk functions.
О ХАУСДОРФОВОЙ МЕРЕ ОДНОРОДНОГО ТРЕУГОЛЬНОГО (С, θ)-КОВРА СЕРПИНСКОГО
В работе рассматривается однородный треугольный (с,θ)-ковер Серпинского. Для значений параметра с ⊂(0,1/3] при θ⊂(π/3, π) получено точное значение хаусдорфовой s-меры, а при θ⊂(0, π/3] её оценка.