Note on trace inequalities
✍ Scribed by M. Breitenecker; H. -R. Grümm
- Book ID
- 105264606
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 232 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let A andB be positive operators and p, ct, s >/0. Assume either (1) A /> B and fl >~ max{-½(p + 2a), -½(i + 2a)}, or (2) A and B are invertible with log A ~> log B and /3 >/ -a. Then, for any continuous increasing function f on •+ with f(0) = 0, the trace inequality Trf(A~(A'~BPA~)SA ~) <~ Trf(A (p
Using only the elementary properties of lattice-ordered groups, we give a simple w x proof of the inequality of Maligranda and Orlicz 2 in full generality.
## Abstract The best constant and extremal functions for Sobolev trace inequalities on fractional Sobolev spaces are achieved by a simple argument. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim