Bohr operator on analytic functions

Yusuf Abu-Muhanna, Rosihan M. Ali, See Keong Lee

For $f(z)={\sum }_{n=0}^{\infty }{a}_n{z}^n$ and a fixed $z$ in the unit disk, $|z|=r,$ the Bohr operator ${\mathcal{M}}_r$ is given by \[\mathcal{M}_r (f) = \sum_{n=0}^{\infty} |a_n|…