Аннотация:
The growth of analytic and harmonic functions in the unit ball $B_n$ 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.
Ключевые слова и фразы:holomorphic function, Cauchy–Szegő transform, modulus of continuity, Lipschitz class, Poisson integral, Cauchy integral, Cauchy–Stieltjes integral, Poisson–Stielstjes integral, unit ball.