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Optimal Sobolev regularity of ∂¯ on the Hartogs triangle
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Optimal Sobolev regularity of ∂¯ on the Hartogs triangle
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Journal Article
Optimal Sobolev regularity of ∂¯ on the Hartogs triangle
2025
Overview
In this paper, we show that for each k∈Z+,p>4, there exists a solution operator Tk to the ∂¯ problem on the Hartogs triangle that maintains the same Wk,p regularity as that of the data. According to a Kerzman-type example, this operator provides solutions with the optimal Sobolev regularity.
Publisher
Springer Nature B.V
Subject
