Some Sufficient Conditions for Analytic Functions to Belong to 𝒬𝐾,0(𝑝,𝑞) Space

Abstract

This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions 𝑓 on the unit disk such lim|𝑎|→1∫𝔻|𝑓(𝑧)|𝑝(1−|𝑧|2)𝑞𝐾(𝑔(𝑧,𝑎))𝑑𝐴(𝑧)=0.