Abstract
Let \({\Omega\subset\mathbb{C}^n}\) be a bounded pseudoconvex domain with Ck boundary, k ≥ 1. In this paper, we will prove that the Cauchy–Riemann operator \(\overline \partial\) has a bounded solution operator in the Sobolev space \({W^s_{(p,q)}(\Omega)}\) for all \({0 \leq s < k-\frac{1}{2}}\).
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