Affiliation:
1. Department of Mathematical Sciences, Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA
Abstract
The purpose of this paper is to study Hölder estimates for the [Formula: see text] problem for [Formula: see text] forms on products of general planar domains. As indicated by an example of Stein and Kerzman, solutions to the [Formula: see text] problem on product domains in [Formula: see text] does not gain regularity in Hölder spaces. Making use of an integral representation of Nijenhuis and Woolf, we show that given a [Formula: see text]-closed [Formula: see text] form with [Formula: see text] components, [Formula: see text], [Formula: see text], there is a [Formula: see text] solution to the [Formula: see text] problem on product domains for any [Formula: see text] with the desired Hölder estimate.
Publisher
World Scientific Pub Co Pte Lt
Cited by
2 articles.
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