Kernel Smoothing Operators on Thick Open Domains
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929260029018112 |
|---|---|
| author | Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi |
| author_facet | Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00173 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kernel Smoothing Operators on Thick Open Domains Giannakis, Dimitrios Jebelli, Mohammad Javad Latifi Classical Analysis and ODEs Mathematical Physics 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. |
| title | Kernel Smoothing Operators on Thick Open Domains |
| topic | Classical Analysis and ODEs Mathematical Physics |
| url | https://arxiv.org/abs/2403.00173 |