Convolution operators in A −∞ for convex domains
We consider the convolution operators in spaces of functions which are holomorphic in a bounded convex domain in ℂn and have a polynomial growth near its boundary. A characterization of the surjectivity of such operators on the class of all domains is given in terms of low bounds of the Laplace tran...
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sg-ntu-dr.10356-991032020-03-07T12:34:48Z Convolution operators in A −∞ for convex domains Abanin, Alexander V. Ishimura, Ryuichi. Khoi, Le Hai. School of Physical and Mathematical Sciences We consider the convolution operators in spaces of functions which are holomorphic in a bounded convex domain in ℂn and have a polynomial growth near its boundary. A characterization of the surjectivity of such operators on the class of all domains is given in terms of low bounds of the Laplace transformation of analytic functionals defining the operators. 2013-07-31T06:06:52Z 2019-12-06T20:03:26Z 2013-07-31T06:06:52Z 2019-12-06T20:03:26Z 2012 2012 Journal Article Abanin, A. V., Ishimura, R.,& Khoi, L. H. (2012). Convolution operators in A −∞ for convex domains. Arkiv för Matematik, 50(1), 1-22. https://hdl.handle.net/10356/99103 http://hdl.handle.net/10220/12605 10.1007/s11512-011-0146-4 en Arkiv för matematik |
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We consider the convolution operators in spaces of functions which are holomorphic in a bounded convex domain in ℂn and have a polynomial growth near its boundary. A characterization of the surjectivity of such operators on the class of all domains is given in terms of low bounds of the Laplace transformation of analytic functionals defining the operators. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Abanin, Alexander V. Ishimura, Ryuichi. Khoi, Le Hai. |
| format |
Article |
| author |
Abanin, Alexander V. Ishimura, Ryuichi. Khoi, Le Hai. |
| spellingShingle |
Abanin, Alexander V. Ishimura, Ryuichi. Khoi, Le Hai. Convolution operators in A −∞ for convex domains |
| author_sort |
Abanin, Alexander V. |
| title |
Convolution operators in A −∞ for convex domains |
| title_short |
Convolution operators in A −∞ for convex domains |
| title_full |
Convolution operators in A −∞ for convex domains |
| title_fullStr |
Convolution operators in A −∞ for convex domains |
| title_full_unstemmed |
Convolution operators in A −∞ for convex domains |
| title_sort |
convolution operators in a −∞ for convex domains |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/99103 http://hdl.handle.net/10220/12605 |
| _version_ |
1681035925734293504 |