| Title:
|
Boundedness of Riesz potential generated by generalized shift operator on $Ba$ spaces (English) |
| Author:
|
Ṣerbetci, Ayhan |
| Author:
|
Ekincioğlu, Ismail |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
579-589 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the boundedness of the Riesz potential generated by generalized shift operator $I^{\alpha }_{B_{k}}$ from the spaces ${a = (L_{p_{m}, \nu } (\mathbb{R}_n^k), a_m)}$ to the spaces ${a^{\prime }= (L_{q_{m}, \nu } (\mathbb{R}_n^k), a^{\prime }_m)}$ is examined. (English) |
| Keyword:
|
generalized shift operator |
| Keyword:
|
Riesz-Bessel transformations |
| MSC:
|
45E10 |
| MSC:
|
47B37 |
| MSC:
|
47G10 |
| idZBL:
|
Zbl 1080.47503 |
| idMR:
|
MR2086718 |
| . |
| Date available:
|
2009-09-24T11:15:39Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127913 |
| . |
| 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:
|
[8] A. D. Gadzhiev and I. A. Aliev: On a potential like operators generated by the generalized shift operator.Vekua Inst. Applied Math. 3 (1988), 21–24. |
| Reference:
|
[9] I. Ekincioglu and I. Kaya Özkin: On high order Riesz transformations generated by a generalized shift operator.Tr. J. Math. 21 (1997), 51–60. MR 1473300 |
| Reference:
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[10] I. Ekincioglu and A. Serbetci: On the singular integral operators generated by the generalized shift operator.Int. J. App. Math. 1 (1999), 29–38. MR 1689693 |
| Reference:
|
[11] B. M. Levitan: Bessel function expansions in series and fourier integrals.Uspekhi Mat. Nauk 6 (1951), 102–143. MR 0049376 |
| Reference:
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| . |
