Abstract
We provide necessary conditions for the refined version of the Brascamp-Lieb inequality where the input functions are allowed to belong to Lorentz spaces, thereby establishing the sharpness of the range of Lorentz exponents in the subcritical case. Using similar considerations, some sharp refinements of the Strichartz estimates for the kinetic transport equation are established.
| Original language | English |
|---|---|
| Pages (from-to) | 53-63 |
| Number of pages | 11 |
| Journal | Electronic Research Announcements in Mathematical Sciences |
| Volume | 24 |
| DOIs | |
| Publication status | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2016 American Institute of Mathematical Sciences.
Keywords
- Brascamp-Lieb inequality
- Lorentz spaces
ASJC Scopus subject areas
- General Mathematics
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