التفاصيل البيبلوغرافية
| العنوان: |
Sobolev Estimates for the ∂ ¯ and the ∂ ¯ -Neumann Operator on Pseudoconvex Manifolds. |
| المؤلفون: |
Adam, Haroun Doud Soliman, Ahmed, Khalid Ibrahim Adam, Saber, Sayed, Marin, Marin |
| المصدر: |
Mathematics (2227-7390); Oct2023, Vol. 11 Issue 19, p4138, 26p |
| مصطلحات موضوعية: |
SOBOLEV spaces, BERGMAN spaces, CURVATURE |
| مستخلص: |
Let D be a relatively compact domain in an n-dimensional Kähler manifold with a C 2 smooth boundary that satisfies some "Hartogs-pseudoconvexity" condition. Assume that Ξ is a positive holomorphic line bundle over X whose curvature form Θ satisfies Θ ≥ C ω , where C > 0 . Then, the ∂ ¯ -Neumann operator N and the Bergman projection P are exactly regular in the Sobolev space W m (D , Ξ) for some m , as well as the operators ∂ ¯ N , ∂ ¯ ⋇ N . [ABSTRACT FROM AUTHOR] |
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