This work demonstrates boundary behavior and solutions of Schwarz-type operators in a specific domain, highlighting implications for mathematical theory.
Key Points
The study aims to analyze the boundary behavior of Schwarz-type operators and establish solutions for inhomogeneous polyanalytic equations.
Investigated boundary behavior of Schwarz-type and T-type operators in a partial eclipse domain.
Proved continuity of integral operators and existence of non-tangential limits at corner points.
Derived explicit solutions for a Schwarz-type boundary problem linked to an inhomogeneous polyanalytic equation.
Established existence of non-tangential limits at singular points in the domain.
Demonstrated continuity of associated integral operators up to the boundary.
Derived an explicit formula for solutions to an inhomogeneous polyanalytic equation.