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Details for article 8 of 10 found articles
| Title: |
Vector and operator-valued holomorphic functions representable by Carleman type formulas |
| Author: |
Chailos, George |
| Appeared in: |
Complex variables and elliptic equations |
| Paging: | Volume 49 (2004) nr. 15 pages 1117-1128 |
| Year: |
2004-12-15 |
| Contents: |
Let [image omitted] be a simply connected domain and let M be a connected subset of its boundary [image omitted] of positive Lebesque measure. With X we denote a separable Hilbert space [image omitted] or the space [image omitted] of bounded linear functionals on [image omitted]. We set f to be an X-valued holomorphic function, and with [image omitted] we denote the class of X-valued holomorphic functions on [image omitted] which belong to the Hardy class [image omitted] near the set M. In our main result, we show that if f belongs to [image omitted], then f is representable by a Carleman type formula, and conversely, if f is representable by a Carleman type formula, and in some sense has an analytic continuation across M, then f belongs to [image omitted]. Furthermore we show that in general [image omitted]. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 8 of 10 found articles
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