Estimates for constants in additivity inequalities for function spaces
β Scribed by V. I. Burenkov; A. Senusi
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1994
- Tongue
- English
- Weight
- 749 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We use a structural characterization of the metric projection PG(f), from the continuous function space to its one-dimensional subspace G, to derive a lower bound of the Hausdorff strong unicity constant (or weak sharp minimum constant) for PG and then show this lower bound can be attained. Then the
A survey is given of sharp forms of some classical inequalities for the conjugate function.
## It is shown that a Banach space satisfies Clarkson's inequalities if and only if its "type or cotype constant" is 1, which implies in particular that the notions of Goand G, -Fourier type by I " (161 are equivalent. A sequence of related results is also given. 1991 Maihemaiics Subject Clarrifi