Non-isotropic weighted L p estimates for the ∂̄-equation on piecewise smooth strictly pseudoconvex domains

Heungju Ahn, Hong Rae Cho, Jong Do Park

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)2161-2171
Number of pages11
JournalScience in China, Series A: Mathematics
Volume51
Issue number12
DOIs
StatePublished - 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

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