BOUNDEDNESS OF DERIVATIVES AND φ-NORMAL FUNCTIONS

Banarsi Lal, Virender Singh

Abstract


The aim of this paper is to study the families of normal and φ-normal
functions on the unit disk D, and to generalize some normal function criteria of Xu and Qiu [An avoidance criterion for normal functions, C. R. Math 349(2011), 1159-1160] and Yang [A note on the avoidance criterion for normal functions, Anal. Math. Phys.
10, 35(2020)] to the case where derivatives are bounded from above on zero sets.


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