Multianisotropic Integral Operators Defined by Regular Equations

Abstract

The article continues the authors’ previous research, where they are proved the well-posed solvability of regular equations in ℝⁿ and the Dirichlet problem in \(\mathbb{R}_+^n\). We define a scale of weighted spaces in which the regular operators are correctly solvable. Approximate solutions to the corresponding Dirichlet problem are constructed with the use of integral operators.