Abstract
In this paper we obtain non-isotropic weighted L p estimates with the boundary distance weight function for the ∂-equation on piecewise smooth strictly pseudoconvex domains under a hypothesis of complex transversality in ℂn using the explicit formula of solutions by Berndtsson-Andersson.
Original language | English |
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Pages (from-to) | 2161-2171 |
Number of pages | 11 |
Journal | Science in China, Series A: Mathematics |
Volume | 51 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2008 |
Bibliographical note
Funding Information:Received February 12, 2007; accepted May 19, 2008; published online August 22, 2008 DOI: 10.1007/s11425-008-0123-y † Corresponding author This work was supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)
Keywords
- Cauchy-Riemann equation
- Non-isotropic norm
- Piecewise strictly pseudoconvex domain