In this paper we discuss holomorphic mappings f of the unit disc 𝕌 and corresponding index defined as I f ( z )= zf'( z ) f( z ) . We are interested in finding bounds on the growth of functions f and ...

This is a preview. Log in through your library . Abstract Given a nonnegative measurable function f on R2 which is integrable over sets of finite measure, we construct a new function g with the same ...