4 papers · 1 filter
Bicomplex Hardy Classes of Solutions to Higher-Order Vekua Equations
William L. Blair
We extend representation formulas for functions in Hardy classes of solutions to higher-order iterated Vekua equations to Hardy classes of bicomplex-valued functions that solve a b…
Hardy Spaces of Meta-Analytic Functions and the Schwarz Boundary Value Problem
William L. Blair
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 genera…
The Schwarz boundary value problem for boundary values in the sense of distributions
William L. Blair
We construct solutions to the Schwarz boundary value problem on the unit disk and the upper half-plane when the boundary condition is with respect to boundary values in the sense o…
An atomic representation for Hardy classes of solutions to nonhomogeneous Cauchy-Riemann equations
William L. Blair
We develop a representation of the second kind for certain Hardy classes of solutions to nonhomogeneous Cauchy-Riemann equations and use it to show that boundary values in the sens…