| Title:
|
Necessary and sufficient conditions for the two-weight weak type maximal inequality in Orlicz class (English) |
| Author:
|
Ren, Yanbo |
| Author:
|
Ding, Shuang |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
79-85 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We collect known and prove new necessary and sufficient conditions for the weighted weak type maximal inequality of the form $$ \Phi _{1} (\lambda ) \varrho ( \{x\in X\colon M_\mu f (x) > \lambda \} ) \le c \int _X \Phi _{2} (c | {f(x)} | ) \sigma (x) {\rm d} \mu (x), $$ which extends some known results. (English) |
| Keyword:
|
weight |
| Keyword:
|
weak type inequality |
| Keyword:
|
Hardy-Littlewood maximal function |
| Keyword:
|
Orlicz class |
| MSC:
|
42B25 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 07511554 |
| idMR:
|
MR4389107 |
| DOI:
|
10.21136/CMJ.2021.0320-20 |
| . |
| Date available:
|
2022-03-25T08:26:24Z |
| Last updated:
|
2024-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149574 |
| . |
| 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:
|
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| Reference:
|
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| Reference:
|
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| . |
