Details

Autor(en) / Beteiligte

• Kayumov, I. R.
• Wirths, Karl-Joachim

Titel

Inequalities of Carlson Type for α-Bloch Functions

Ist Teil von

• Mediterranean journal of mathematics, 2020-06, Vol.17 (3), Article 83

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this article, we prove inequalities for the Taylor coefficients of functions G holomorphic in the unit disc satisfying the condition | G ( z ) | ( 1 - | z | 2 ) α ≤ 1 , | z | < 1 , for fixed α ≥ 0 . The upper bound for the modulus of the k -th Taylor coefficient is dependent on the moduli of some initial coefficients. As corollaries we get similar estimates for α -Bloch functions and an estimate for an area type functional on α -Bloch functions.