Bohr Inequality for Integral Operators on K-Quasiconformal Harmonic Mappings

Bohr-type inequalities have been extensively studied for integral operators defined on 2 bounded analytic functions in the unit disk. In this paper, we extend this line of inves- 3 tigation to the class of K-quasiconformal harmonic mappings and consider the action of 4 integral operators (including the Bernardi and Cesàro operators) on the harmonic mappings 5 whose analytic parts are bounded in modulus by one. Our results provide estimates that 6 generalize existing results in the analytic case.