Abstract:
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.
Key words and phrases:holomorphic function, Cauchy–Szegő transform, modulus of continuity, Lipschitz class, Poisson integral, Cauchy integral, Cauchy–Stieltjes integral, Poisson–Stielstjes integral, unit ball.
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