The Bohr Inequality for the Generalized Cesáro Averaging Operators

  title={The Bohr Inequality for the Generalized Ces{\'a}ro Averaging Operators},
  author={Ilgiz R. Kayumov and Diana Khammatova and Saminathan Ponnusamy},
  journal={Mediterranean Journal of Mathematics},
∞ n=0 |an| (1/3) = 1 if and only if f is a constant function. However, there are a lot of generalizations and extensions of this theorem (cf. [12–14, 29]). The interest on this topic was revived due to the discovery of extensions to domains in C and to more general abstract setting in various contexts, due mainly to works of Aizenberg, Boas, Khavinson, and others (cf. [2–4, 8, 10, 25]). In [2, 4], multidimensional analogues of Bohr’s inequality in which the unit disk D is replaced by a domain… 
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