| Title:
|
Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents (English) |
| Author:
|
Lu, Yan |
| Author:
|
Zhu, Yue Ping |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
64 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
969-987 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce a new type of variable exponent function spaces $M\dot K^{\alpha (\cdot ),\lambda }_{q,p(\cdot )}(\mathbb R^n)$ of Morrey-Herz type where the two main indices are variable exponents, and give some propositions of the introduced spaces. Under the assumption that the exponents $\alpha $ and $p$ are subject to the log-decay continuity both at the origin and at infinity, we prove the boundedness of a wide class of sublinear operators satisfying a proper size condition which include maximal, potential and Calderón-Zygmund operators and their commutators of BMO function on these Morrey-Herz type spaces by applying the properties of variable exponent and BMO norms. (English) |
| Keyword:
|
Morrey-Herz space |
| Keyword:
|
variable exponent |
| Keyword:
|
sublinear operator |
| Keyword:
|
commutator |
| MSC:
|
42B25 |
| MSC:
|
42B35 |
| idZBL:
|
Zbl 06433708 |
| idMR:
|
MR3304792 |
| DOI:
|
10.1007/s10587-014-0147-0 |
| . |
| Date available:
|
2015-02-09T17:32:12Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144155 |
| . |
| Reference:
|
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| Reference:
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| . |
