We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Majorization revisited: Comparison of norms in interpolation scales.
- Authors
Astashkin, Sergey V.; Lykov, Konstantin V.; Milman, Mario
- Abstract
We reformulate, modify and extend a comparison criteria of L p norms obtained by Nazarov–Podkorytov and place it in the general setting of interpolation theory and majorization theory. In particular, we give norm comparison criteria for general scales of interpolation spaces, including non-commutative L p and Lorentz spaces. As an application, we extend the classical Ball's integral inequality, which lies at the basis of his famous result on sections of the n-dimensional unit cube.
- Subjects
INTERPOLATION spaces; INTEGRAL inequalities; LORENTZ spaces; SET theory; INTERPOLATION; CUBES
- Publication
Mathematische Annalen, 2024, Vol 388, Issue 4, p3373
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-023-02606-w