Hardy Spaces of Solutions to Higher-Order Vekua Equations and the Schwarz Boundary Value Problem
摘要
We show that functions in certain Hardy classes of solutions to higher-order iterated Vekua equations share properties of functions in the classical holomorphic Hardy spaces. Also, we show that a Schwarz boundary value problem for the higher-order Vekua equation is uniquely solvable when the boundary conditions are with respect to boundary values in the sense of distributions.