We prove the following theorem: Let F be a nonarchimedean local field of characteristic zero and K a quadratic extension of F. Let S be the set of characters of K\* trivial on F \*. Let / 1 and / 2 be two characters of K\* such that / 1 | F \* =/ 2 | F \* {1. Let be a nontrivial additive character o
โฆ LIBER โฆ
A Converse Extrapolation Theorem for Translation-Invariant Operators
โ Scribed by Terence Tao
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 112 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
โฆ Synopsis
We prove a converse of Yano's extrapolation theorem for translation invariant operators.
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