On the Fatou theorem for d_J-bar subsolutions in wedges

TL;DR

This paper establishes a version of the Fatou theorem for bounded functions with bounded d_J-bar differential on wedge-shaped domains within almost complex manifolds, extending classical boundary behavior results.

Contribution

It introduces a new Fatou theorem applicable to wedge domains in almost complex manifolds, broadening understanding of boundary limits for certain differential equations.

Findings

Proves Fatou theorem for bounded d_J-bar subsolutions in wedges

Extends classical boundary behavior results to almost complex manifolds

Provides new tools for analyzing boundary limits in complex geometry

Abstract

We prove a version of the Fatou theorem for bounded functions with bounded d_J-bar diferential on wedge-type domains in an almost complex manifold.