Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem

Abstract

We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic functions. Also, we solve a generalization of the higher-order Schwarz boundary value problem in the context of meta-analytic functions with boundary conditions that are boundary values in the sense of distributions.

Submitted

References in corpus (3)

• An atomic representation for Hardy classes of solutions to nonhomogeneous Cauchy-Riemann equations
• Bicomplex Hardy Classes of Solutions to Higher-Order Vekua Equations
• The Schwarz boundary value problem for boundary values in the sense of distributions

Cited by in corpus (1)

• An Atomic Representation for Bicomplex Hardy Classes