## Abstract It is shown that for any locally compact abelian group 𝔾 and 1 ≤ __p__ ≤ 2, the Fourier type __p__ norm with respect to 𝔾 of a bounded linear operator __T__ between Banach spaces, denoted by ‖__T__ |ℱ𝒯^𝔾^~__p__~‖, satisfies ‖__T__ |ℱ𝒯^𝔾^~__p__~‖ ≤ ‖__T__ |ℱ𝒯^𝔸^~__p__~‖, where 𝔸 is the d
✦ LIBER ✦
Singularity of Vector Valued Measures in Terms of Fourier Transform
✍ Scribed by Maria Roginskaya; Michal Wojciechowski
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2006
- Tongue
- English
- Weight
- 188 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1069-5869
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Classification and geometric aspects of
✍
In Sook Park
📂
Article
📅
2008
🏛
John Wiley and Sons
🌐
English
⚖ 208 KB
Fourier series of additive vector measur
✍
A. G. Areshkina
📂
Article
📅
1998
🏛
SP MAIK Nauka/Interperiodica
🌐
English
⚖ 262 KB
Asymptotic Expansions for Fourier Transf
✍
K.A. Makarov
📂
Article
📅
1994
🏛
Elsevier Science
🌐
English
⚖ 722 KB
A uniform estimate for Fourier transform
✍
Wolfgang Stadje
📂
Article
📅
1986
🏛
Elsevier Science
🌐
English
⚖ 299 KB
On the Fourier-Stieltjes transforms of s
✍
Raouf Doss
📂
Article
📅
1967
🏛
Springer-Verlag
🌐
French
⚖ 353 KB
Gelfand-Phillips Property in a Banach Sp
✍
G. Of Emmanuele Catania
📂
Article
📅
1986
🏛
John Wiley and Sons
🌐
English
⚖ 141 KB
👁 1 views
In this paper (8, Z, p) will always denote a finite measure space and X a BA-NACH space. K ( p , 9) will denote the BANACH space of p-continuous X-valued measures G defined on L ? having relatively coinpact range, endowed with the semivariation norm (see Purpose of this note is to show that if X is