| Title:
|
On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces (English) |
| Author:
|
Akbulut, Ali |
| Author:
|
Guliyev, Vagif |
| Author:
|
Mustafayev, Rza |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
137 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
27-43 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we find conditions on the pair $(\omega _1,\omega _2)$ which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space $\mathcal {M}_{p,\omega _1}$ to another $\mathcal {M}_{p,\omega _2}$, $1<p<\infty $, and from the space $\mathcal {M}_{1,\omega _1}$ to the weak space $W\mathcal {M}_{1,\omega _2}$. As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces. (English) |
| Keyword:
|
generalized Morrey space |
| Keyword:
|
maximal operator |
| Keyword:
|
Hardy operator |
| Keyword:
|
singular integral operator |
| MSC:
|
42B20 |
| MSC:
|
42B25 |
| MSC:
|
42B35 |
| idZBL:
|
Zbl 1250.42038 |
| idMR:
|
MR2978444 |
| DOI:
|
10.21136/MB.2012.142786 |
| . |
| Date available:
|
2012-04-18T23:58:46Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142786 |
| . |
| Reference:
|
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