| Title:
|
Generalized Morrey spaces associated to Schrödinger operators and applications (English) |
| Author:
|
Trong, Nguyen Ngoc |
| Author:
|
Truong, Le Xuan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
953-986 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We first introduce new weighted Morrey spaces related to certain non-negative potentials satisfying the reverse Hölder inequality. Then we establish the weighted strong-type and weak-type estimates for the Riesz transforms and fractional integrals associated to Schrödinger operators. As an application, we prove the Calderón-Zygmund estimates for solutions to Schrödinger equation on these new spaces. Our results cover a number of known results. (English) |
| Keyword:
|
Morrey space |
| Keyword:
|
Schrödinger operator |
| Keyword:
|
Riesz transform |
| Keyword:
|
fractional integral |
| Keyword:
|
Calderón-Zygmund estimate |
| MSC:
|
42B20 |
| MSC:
|
42B35 |
| idZBL:
|
Zbl 07031690 |
| idMR:
|
MR3881889 |
| DOI:
|
10.21136/CMJ.2018.0039-17 |
| . |
| Date available:
|
2018-12-07T06:18:20Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147514 |
| . |
| Reference:
|
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