| Title:
|
Estimates in the Hardy-Sobolev space of the annulus and stability result (English) |
| Author:
|
Feki, Imed |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
481-495 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this work is to establish some logarithmic estimates of optimal type in the Hardy-Sobolev space $H^{k,\infty }$; $k \in {\mathbb {N}}^*$ of an annular domain. These results are considered as a continuation of a previous study in the setting of the unit disk by L. Baratchart and M. Zerner, On the recovery of functions from pointwise boundary values in a Hardy-Sobolev class of the disk, J. Comput. Appl. Math. 46 (1993), 255–269 and by S. Chaabane and I. Feki, Optimal logarithmic estimates in Hardy-Sobolev spaces $H^{k,\infty }$, C. R., Math., Acad. Sci. Paris 347 (2009), 1001–1006. As an application, we prove a logarithmic stability result for the inverse problem of identifying a Robin parameter on a part of the boundary of an annular domain starting from its behavior on the complementary boundary part. (English) |
| Keyword:
|
annular domain |
| Keyword:
|
Poisson kernel |
| Keyword:
|
Hardy-Sobolev space |
| Keyword:
|
logarithmic estimate |
| Keyword:
|
Robin parameter |
| MSC:
|
30C40 |
| MSC:
|
30H10 |
| MSC:
|
35R30 |
| idZBL:
|
Zbl 06236426 |
| idMR:
|
MR3073973 |
| DOI:
|
10.1007/s10587-013-0032-2 |
| . |
| Date available:
|
2013-07-18T15:04:13Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143327 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
