The Chirka - Lindelof and Fatou theorems for d-bar subsolutions

TL;DR

This paper establishes analogs of classical boundary theorems for bounded functions with bounded d-bar on strictly pseudoconvex domains within almost complex manifolds, extending complex analysis results to more general geometric settings.

Contribution

It introduces new boundary behavior theorems for d-bar subsolutions in almost complex manifolds, generalizing classical complex analysis results.

Findings

Proved boundary limit theorems for d-bar subsolutions.

Extended classical theorems to almost complex manifolds.

Provided new tools for boundary analysis in complex geometry.

Abstract

We prove analogs of the Chirka - Lindelof and Fatou theorems for bounded functions with bounded d-bar on a strictly pseudoconvex domain in an almost complex manifold