Kernel Smoothing Operators on Thick Open Domains ...
We define the notion of a thick open set $Ω$ in a Euclidean space and show that a local Hardy-Littlewood inequality holds in $L^p(Ω)$, $p \in (1, \infty]$. We then establish pointwise and $L^p(Ω)$ convergence for families of convolution operators with a Markov normalization on $Ω$. We demonstrate ap...
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| Format: | Article in Journal/Newspaper |
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arXiv
2024
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| Online Access: | https://dx.doi.org/10.48550/arxiv.2403.00173 https://arxiv.org/abs/2403.00173 |
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ftdatacite:10.48550/arxiv.2403.00173 |
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openpolar |
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ftdatacite:10.48550/arxiv.2403.00173 2024-04-28T08:37:48+00:00 Kernel Smoothing Operators on Thick Open Domains ... Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi 2024 https://dx.doi.org/10.48550/arxiv.2403.00173 https://arxiv.org/abs/2403.00173 unknown arXiv Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 Classical Analysis and ODEs math.CA Mathematical Physics math-ph FOS Mathematics FOS Physical sciences article Article Preprint CreativeWork 2024 ftdatacite https://doi.org/10.48550/arxiv.2403.00173 2024-04-02T10:08:08Z We define the notion of a thick open set $Ω$ in a Euclidean space and show that a local Hardy-Littlewood inequality holds in $L^p(Ω)$, $p \in (1, \infty]$. We then establish pointwise and $L^p(Ω)$ convergence for families of convolution operators with a Markov normalization on $Ω$. We demonstrate application of such smoothing operators to piecewise-continuous density, velocity, and stress fields from discrete element models of sea ice dynamics. ... : 28 pages, 5 figures ... Article in Journal/Newspaper Sea ice DataCite Metadata Store (German National Library of Science and Technology) |
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Open Polar |
| collection |
DataCite Metadata Store (German National Library of Science and Technology) |
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ftdatacite |
| language |
unknown |
| topic |
Classical Analysis and ODEs math.CA Mathematical Physics math-ph FOS Mathematics FOS Physical sciences |
| spellingShingle |
Classical Analysis and ODEs math.CA Mathematical Physics math-ph FOS Mathematics FOS Physical sciences Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi Kernel Smoothing Operators on Thick Open Domains ... |
| topic_facet |
Classical Analysis and ODEs math.CA Mathematical Physics math-ph FOS Mathematics FOS Physical sciences |
| description |
We define the notion of a thick open set $Ω$ in a Euclidean space and show that a local Hardy-Littlewood inequality holds in $L^p(Ω)$, $p \in (1, \infty]$. We then establish pointwise and $L^p(Ω)$ convergence for families of convolution operators with a Markov normalization on $Ω$. We demonstrate application of such smoothing operators to piecewise-continuous density, velocity, and stress fields from discrete element models of sea ice dynamics. ... : 28 pages, 5 figures ... |
| format |
Article in Journal/Newspaper |
| author |
Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi |
| author_facet |
Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi |
| author_sort |
Giannakis, Dimitrios |
| title |
Kernel Smoothing Operators on Thick Open Domains ... |
| title_short |
Kernel Smoothing Operators on Thick Open Domains ... |
| title_full |
Kernel Smoothing Operators on Thick Open Domains ... |
| title_fullStr |
Kernel Smoothing Operators on Thick Open Domains ... |
| title_full_unstemmed |
Kernel Smoothing Operators on Thick Open Domains ... |
| title_sort |
kernel smoothing operators on thick open domains ... |
| publisher |
arXiv |
| publishDate |
2024 |
| url |
https://dx.doi.org/10.48550/arxiv.2403.00173 https://arxiv.org/abs/2403.00173 |
| genre |
Sea ice |
| genre_facet |
Sea ice |
| op_rights |
Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 |
| op_doi |
https://doi.org/10.48550/arxiv.2403.00173 |
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1797569107228360704 |