Abstract
AbstractIn this note we consider -problem in line bundles over complex projective space ℂℙ1 and prove that the equation can be solved for (0, 1) forms with compact support. As a consequence, any Cauchy-Riemann function on a compact real hypersurface in such line bundles is a jump of two holomorphic functions defined on the sides of the hypersurface. In particular, the results can be applied to ℂℙ2 since by removing a point from it we get a line bundle over ℂℙ1.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
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2. $${\bar{\partial }}$$
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-Problem in Fiber Bundles for Decreasing (0, 1)-Forms;Complex Analysis and Operator Theory;2017-09-13
3. Holomorphic extensions and theta functions on complex tori;Monatshefte für Mathematik;2011-12-17
4. Holomorphic Extensions in Smooth Toric Surfaces;Journal of Geometric Analysis;2011-04-23
5. Holomorphic extensions in complex fiber bundles;Journal of Mathematical Analysis and Applications;2006-10