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The $overline{partial}$-equation on variable strictly pseudoconvex domains

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 Added by Xianghong Gong
 Publication date 2015
  fields
and research's language is English




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We investigate regularity properties of the $overline{partial}$-equation on domains in a complex euclidean space that depend on a parameter. Both the interior regularity and the regularity in the parameter are obtained for a continuous family of pseudoconvex domains. The boundary regularity and the regularity in the parameter are also obtained for smoothly bounded strongly pseudoconvex domains.



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