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Let X be a complex manifold of dimension n ≥ 2 and Ω ⋐ X be a weakly pseudoconvex domain with smooth boundary in X. Let E be a holomorphic… Click to show full abstract
Let X be a complex manifold of dimension n ≥ 2 and Ω ⋐ X be a weakly pseudoconvex domain with smooth boundary in X. Let E be a holomorphic line bundle over X which is positive on a neighborhood of bΩ. Let E⊗m be the m-times tensor product of E for positive integer m. The purpose of this paper is to study the ∂¯-problem with support conditions in Ω for forms of type (r,s), s ≥ 1 with values in E⊗m. Applications to the ∂¯b-problem for smooth forms on boundaries of Ω are given.
Keywords:
cauchy problem;
pseudoconvex domains;
domains applications;
problem pseudoconvex;
problem
Journal Title: Asian-european Journal of Mathematics
Year Published: 2017
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Journal Title: Asian-european Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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recommendations!