| Title:
|
Boundedness of Littlewood-Paley operators relative to non-isotropic dilations (English) |
| Author:
|
Sato, Shuichi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
337-351 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider Littlewood-Paley functions associated with a non-isotropic dilation group on $\Bbb R^n$. We prove that certain Littlewood-Paley functions defined by kernels with no regularity concerning smoothness are bounded on weighted $L^p$ spaces, $1<p<\infty $, with weights of the Muckenhoupt class. This, in particular, generalizes a result of N. Rivière (1971).\looseness -1 (English) |
| Keyword:
|
Littlewood-Paley function |
| Keyword:
|
non-isotropic dilation |
| MSC:
|
42B25 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 07088788 |
| idMR:
|
MR3959948 |
| DOI:
|
10.21136/CMJ.2018.0313-17 |
| . |
| Date available:
|
2019-05-24T08:55:17Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147728 |
| . |
| Reference:
|
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