Перегляд за автором "Chyzhykov, I."

Сортувати за: Порядок: Результатів:

  • Asymptotic Behavior of Fractional Derivatives of Bounded Analytic Functions 
    Chyzhykov, I.; Kosaniak, Yu. (Журнал математической физики, анализа, геометрии, 2017)
    We find sharp sufficient conditions for the boundedness of fractional derivatives of a bounded analytic function in a Stolz angle. If F ≠ 0 in the unit disc, the necessary and sufficient conditions for the boundedness of ...
  • Growth and representation of analytic and harmonic functions in the unit disc 
    Chyzhykov, I. (Український математичний вісник, 2006)
  • Growth of the Poisson-Stieltjes Integral in a Polydisc 
    Chyzhykov, I.; Zolota, O. (Журнал математической физики, анализа, геометрии, 2011)
    We describe the growth of the valueM∞(r1,..., rrn, v) = max{|v(z1,...,zn)| : |zj| ≤ rj}, 0 ≤ rj < 1 in terms of the modulus of continuity of a measure μ, where the function v is represented by the Poisson-Stieltjes integral.
  • On the Growth of the Cauchy-Szegő Transform in the Unit Ball 
    Chyzhykov, I.; Voitovych, M. (Журнал математической физики, анализа, геометрии, 2015)
    The growth of analytic and harmonic functions in the unit ball Bn represented by the Cauchy-Stieltjes or Poisson-Stieltjes integral is studied. A description of the growth is given in terms of smoothness of the Stieltjes measure.