Abstract
We study functional calculus properties of C0-groups on real interpolation spaces using transference principles. We obtain interpolation versions of the classical transference principle for bounded groups and of a recent transference principle for unbounded groups. Then we show that each group generator on a Banach space has a bounded math formula-calculus on real interpolation spaces. Additional results are derived from this.
Original language | English |
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Pages (from-to) | 275-289 |
Number of pages | 15 |
Journal | Mathematische Nachrichten |
Volume | 289 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - 8 Oct 2015 |
Keywords
- Functional calculus
- transference
- operator group
- Fourier multiplier
- interpolation space