| Title:
|
Angular limits of the integrals of the Cauchy type (English) |
| Author:
|
Král, Josef |
| Author:
|
Medková, Dagmar |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
593-617 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Integrals of the Cauchy type extended over the boundary $\partial A$ of a general compact set $A$ in the complex plane are investigated. Necessary and sufficient conditions on $\partial A$ are established guaranteeing the existence of angular limits of these integrals at a fixed $z\in \partial A$ for all densities satisfying a Hölder-type condition at $z$. (English) |
| Keyword:
|
integrals of Cauchy type |
| Keyword:
|
angular limits |
| MSC:
|
30E20 |
| idZBL:
|
Zbl 0899.30027 |
| idMR:
|
MR1479307 |
| . |
| Date available:
|
2009-09-24T10:08:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127381 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[9] J. Král: Ob uglovych preděl’nych značenijach integralov tipa Koši.Doklady AN SSSR 155 (1964), no. 1, 32–34. (Russian) |
| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[15] V. G. Maz’ya: Boundary Integral Equations.Analysis IV, Encyklopaedia of Mathematical Science, vol. 27, Springer-Verlag, 1991. |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
