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- Title
Sobolev estimates for the Cauchy–Riemann complex on C <sup>1</sup> pseudoconvex domains.
- Authors
Phillip Harrington
- Abstract
Abstract Let $${\Omega\subset\mathbb{C}^n}$$ be a bounded pseudoconvex domain with C k 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
- Subjects
FUNCTIONS of several complex variables; COMPLEX variables; ANALYTIC continuation; ANALYTIC mappings; ANALYTIC spaces
- Publication
Mathematische Zeitschrift, 2009, Vol 262, Issue 1, p199
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-008-0369-7