Boots-Strapping Argument for a $J$-Holomorphic Mapping on a Strongly Pseudo-Convex Manifold

TL;DR

This paper establishes elliptic regularity for $J$-holomorphic mappings on strongly pseudo-convex manifolds using a boots-strapping argument, advancing understanding of their analytical properties.

Contribution

It introduces a boots-strapping technique to prove elliptic regularity for $J$-holomorphic maps in strongly pseudo-convex settings, a novel approach in this context.

Findings

Proves elliptic regularity for $J$-holomorphic mappings

Develops a boots-strapping argument in this setting

Enhances analytical understanding of $J$-holomorphic maps

Abstract

For $J$-holomorphic mappings for a strongly pseudo-convex manifold, we prove elliptic regularity by the argument of boots-strapping.