| Title:
|
Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces (English) |
| Author:
|
Pradolini, Gladis |
| Author:
|
Recchi, Jorgelina |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
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68 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
77-94 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mu $ be a nonnegative Borel measure on $\mathbb R^d$ satisfying that $\mu (Q)\le l(Q)^n$ for every cube $Q\subset \mathbb R^n$, where $l(Q)$ is the side length of the cube $Q$ and $0<n\leq d$. \endgraf We study the class of pairs of weights related to the boundedness of radial maximal operators of fractional type associated to a Young function $B$ in the context of non-homogeneous spaces related to the measure $\mu $. Our results include two-weighted norm and weak type inequalities and pointwise estimates. Particularly, we give an improvement of a two-weighted result for certain fractional maximal operator proved in W. Wang, C. Tan, Z. Lou (2012). (English) |
| Keyword:
|
non-homogeneous space |
| Keyword:
|
generalized fractional operator |
| Keyword:
|
weight |
| MSC:
|
42B25 |
| idZBL:
|
Zbl 06861568 |
| idMR:
|
MR3783586 |
| DOI:
|
10.21136/CMJ.2018.0337-16 |
| . |
| Date available:
|
2018-03-19T10:25:34Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147122 |
| . |
| Reference:
|
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| Reference:
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