$L^p$ improving properties and maximal estimates for certain multilinear averaging operators
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913204468187136 |
|---|---|
| author | Cho, Chu-hee Lee, Jin Bong Shuin, Kalachand |
| author_facet | Cho, Chu-hee Lee, Jin Bong Shuin, Kalachand |
| contents | In this article we focus on $L^{p}$ estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different proof for the bilinear lacunary spherical maximal functions. To obtain our results, we make use of the $L^1$-improving estimates of multilinear averaging operators. We also obtain $L^p$-improving estimates for certain multilinear averages by means of the nonlinear Brascamp-Lieb inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04196 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $L^p$ improving properties and maximal estimates for certain multilinear averaging operators Cho, Chu-hee Lee, Jin Bong Shuin, Kalachand Classical Analysis and ODEs 42B25, 47H60 In this article we focus on $L^{p}$ estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different proof for the bilinear lacunary spherical maximal functions. To obtain our results, we make use of the $L^1$-improving estimates of multilinear averaging operators. We also obtain $L^p$-improving estimates for certain multilinear averages by means of the nonlinear Brascamp-Lieb inequality. |
| title | $L^p$ improving properties and maximal estimates for certain multilinear averaging operators |
| topic | Classical Analysis and ODEs 42B25, 47H60 |
| url | https://arxiv.org/abs/2306.04196 |