| Title:
|
The weighted Hardy spaces associated to self-adjoint operators and their duality on product spaces (English) |
| Author:
|
Liu, Suying |
| Author:
|
Yang, Minghua |
| Language:
|
English |
| Journal:
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Czechoslovak Mathematical Journal |
| ISSN:
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0011-4642 (print) |
| ISSN:
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1572-9141 (online) |
| Volume:
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68 |
| Issue:
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2 |
| Year:
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2018 |
| Pages:
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415-431 |
| Summary lang:
|
English |
| . |
| Category:
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math |
| . |
| Summary:
|
Let $L$ be a non-negative self-adjoint operator acting on $L^2({\mathbb R}^n)$ satisfying a pointwise Gaussian estimate for its heat kernel. Let $w$ be an $A_r$ weight on ${\mathbb R}^n\times {\mathbb R}^n$, $1<r<\infty $. In this article we obtain a weighted atomic decomposition for the weighted Hardy space $H^{p}_{L,w}({\mathbb R}^n\times {\mathbb R}^n)$, $0<p\leq 1$ associated to $L$. Based on the atomic decomposition, we show the dual relationship between $H^{1}_{L,w}({\mathbb R}^n\times {\mathbb R}^n)$ and ${\rm BMO}_{L,w}({\mathbb R}^n\times {\mathbb R}^n)$. (English) |
| Keyword:
|
weighted Hardy space |
| Keyword:
|
operator |
| Keyword:
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Gaussian estimate |
| Keyword:
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duality |
| Keyword:
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product space |
| MSC:
|
42B30 |
| MSC:
|
42B35 |
| MSC:
|
47F05 |
| idZBL:
|
Zbl 06890380 |
| idMR:
|
MR3819181 |
| DOI:
|
10.21136/CMJ.2018.0469-16 |
| . |
| Date available:
|
2018-06-11T10:53:43Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147226 |
| . |
| Reference:
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