Boundary Theorems of the Gehring-Lohwater and Plessner Type for Polyanalytic Functions
Boundary Theorems of the Gehring-Lohwater and Plessner Type for Polyanalytic Functions
Using methods of the theory of generalized analytic functions, the present paper investigates the boundary behaviour of non-holomorphic functions (such as polyanalytic ones) provided the areolar derivative \partial /\partial \bar{z} belong to an L_p space, p > 2 .