Mathematica Slovaca ( IF 0.654 ) Pub Date : 2020-09-27 , DOI: 10.1515/ms-2017-0420
Vita Baksa; Andriy Bandura; Oleh Skaskiv

In this paper, we present necessary and sufficient conditions of boundedness of L-index in joint variables for vector-valued functions analytic in the unit ball $B2={z∈C2:|z|=|z1|2+|z2|2<1},$ where L = (l1, l2): 𝔹2$R+2$ is a positive continuous vector-valued function.

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