Slow growing of Stieltjes integrals of monotone functions

  • M.V. Zabolotskyj Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • O.V. Kostiuk Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
Keywords: tempered function, Stieltjes integral
Published online: 2012-06-28

Abstract


We establish necessary and sufficient conditions for slow growth of Stieltjes integral of monotone functions. Obtained results are applied to studying of value distribution and growth of Nevanlinna characteristics of meromorphic functions in $\mathbb{C}$.

How to Cite
(1)
ZabolotskyjM., KostiukO. Slow Growing of Stieltjes Integrals of Monotone Functions. Carpathian Math. Publ. 2012, 4 (1), 43-48.