| Title:
|
On weighted spaces of functions harmonic in $\Bbb R^n$ (English) |
| Author:
|
Petrosyan, A. I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
233-240 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b^p_\omega(\Bbb R^n)$ of functions harmonic in the whole $\Bbb R^n$. (English) |
| Keyword:
|
weighted spaces |
| Keyword:
|
harmonic functions |
| Keyword:
|
integral representation |
| Keyword:
|
isometry |
| MSC:
|
30H05 |
| MSC:
|
31B05 |
| MSC:
|
46E15 |
| idZBL:
|
Zbl 1150.30033 |
| idMR:
|
MR2241529 |
| . |
| Date available:
|
2009-05-05T16:56:58Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119589 |
| . |
| Reference:
|
[1] Petrosyan A.I.: On weighted classes of harmonic functions in the unit ball of $\bold R^n$.Complex Var. Theory Appl. 50 12 (2005), 953-966. MR 2164690 |
| Reference:
|
[2] Petrosyan A.I.: On $A^p_ømega$ spaces in the unit ball of $\Bbb C^n$.J. Anal. Appl. 3 1 47-53 (2005). MR 2110499 |
| Reference:
|
[3] Djrbashian M.M.: On canonical representation of functions meromorphic in the unit disc (in Russian).Dokl. Akad. Nauk of Armenia (1945), 3 1 3-9. |
| Reference:
|
[4] Djrbashian M.M.: On the representability problem of analytic functions (in Russian).Soobsch. Inst. Math. and Mech. AN Armenii 2 (1948), 3-40. |
| Reference:
|
[5] Jerbashian A.M.: On the theory of weighted classes of area integrable regular functions.Complex Var. Theory Appl. 50 3 155-183 (2005). Zbl 1081.46024, MR 2123953 |
| Reference:
|
[6] Rudin W.: Real and Complex Analysis.McGraw-Hill, New York, 1987. Zbl 1038.00002, MR 0924157 |
| Reference:
|
[7] Axler S., Bourdon P., Ramsey W.: Harmonic Function Theory.Springer, New York, 2001. MR 1805196 |
| . |
