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On the solvability of ∂̄ in a class of hypo-analytic manifolds

Bahraini, A. R ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2008
  3. Abstract:
  4. The solvability of ∂̄ operator in a class of hypo-analytic manifolds in complex dimension 2 is studied. Suitable weighted L2 spaces are introduced for establishing an a priori inequality. The regularity of the solutions is shown by using a theory of degenerate elliptic operators, developed by Grusin and Visik. The theorem obtained is a degenerate version for the ∂̄ problem in strictly pseudo-convex domains. © Sharif University of Technology
  5. Keywords:
  6. Natural sciences ; Analytic manifolds ; Complex dimensions ; Convex domains ; Elliptic operator ; Weighted l ; Engineering ; Domain structure ; Ellipse ; Geometry ; Mathematical theory ; Topology
  7. Source: Scientia Iranica ; Volume 15, Issue 6 , 2008 , Pages 568-573 ; 10263098 (ISSN)
  8. URL: http://scientiairanica.sharif.edu/article_3079.html