Hodge decomposition for generalized Vekua spaces in higher dimensions

Briceyda B. Delgado

We introduce the spaces $A_{\alpha ,\beta }^p(\Omega )$ of $L^p$-solutions to the Vekua equation (generalized monogenic functions) $Dw=\alpha \overline{w}+\beta w$ in a bounded domain in ${\mathbb{R}}^n$, whe…