On Orlicz-Power Series Spaces
✍ Scribed by Erdal Karapınar; Vyacheslav Zakharyuta
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2010
- Tongue
- English
- Weight
- 246 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1660-5446
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For any separable Orlicz space L we describe all Orlicz subspaces in which N every function can be represented in the norm of L by the Vilenkin᎐Fourier N series. For Walsh᎐Fourier partial sums S w f a more precise result is obtained. n
Various characterizations are given of the exponential Orlicz space L exp t r and the Orlicz -Lorentz space L exp t r , t r . By way of application we give a simple proof of the celebrated theorem of Brézis and Wainger concerning a limiting case of a Sobolev imbedding theorem.
There are found the smallest and largest spaces among a11 ORLICZ spaces generated by non-decreasing ORLICZ functions and also among all ORLICZ spaces generated by 8-convex OBLICZ functions, 0 < 8 S 1.