Asymmetric Blaschke-Santaló functional inequalities
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2018
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910871961206784 |
|---|---|
| author | Haddad, Julian Jimenez, C. Hugo Montenegro, Marcos |
| author_facet | Haddad, Julian Jimenez, C. Hugo Montenegro, Marcos |
| contents | In this work we establish functional asymmetric versions of the celebrated Blaschke-Santaló inequality. As consequences of these inequalities we recover their geometric counterparts with equality cases, as well as, another inequality with strong probabilistic flavour that was firstly obtained by Lutwak, Yang and Zhang. We present a brief study on an $L_p$ functional analogue to the center of mass that is necessary for our arguments and that might be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_02288 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Asymmetric Blaschke-Santaló functional inequalities Haddad, Julian Jimenez, C. Hugo Montenegro, Marcos Metric Geometry Functional Analysis In this work we establish functional asymmetric versions of the celebrated Blaschke-Santaló inequality. As consequences of these inequalities we recover their geometric counterparts with equality cases, as well as, another inequality with strong probabilistic flavour that was firstly obtained by Lutwak, Yang and Zhang. We present a brief study on an $L_p$ functional analogue to the center of mass that is necessary for our arguments and that might be of independent interest. |
| title | Asymmetric Blaschke-Santaló functional inequalities |
| topic | Metric Geometry Functional Analysis |
| url | https://arxiv.org/abs/1810.02288 |