$$L_\infty $$ L ∞ Loomis–Whitney inequalities
| Autor: | Songjun Lv |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Inequality
Hyperbolic geometry media_common.quotation_subject 010102 general mathematics Algebraic geometry 01 natural sciences Combinatorics Differential geometry 0103 physical sciences 010307 mathematical physics Geometry and Topology Affine transformation 0101 mathematics Isoperimetric inequality Mathematics media_common |
| Zdroj: | Geometriae Dedicata. 199:335-353 |
| ISSN: | 1572-9168 0046-5755 |
| DOI: | 10.1007/s10711-018-0352-3 |
| Popis: | By proving a “weighted” reverse affine isoperimetric inequality and its dual, we establish a sharp $$L_\infty $$ Loomis–Whitney inequality and its dual both associated with even isotropic measures. This complements the recently-discovered family of $$L_p$$ Loomis–Whitney inequalities and their dual inequalities for $$p\ge 1$$ . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink