In this paper we prove a number of sharp results on the permissible growth of derivatives of multipliers of fractional Cauchy transforms. For example, we prove that if f g M then there exists a positive constant C such that H M 1 1yr 1qlog 1r 1 y r Ž . Ž . y w . for r g 0, 1 . This result is proved
✦ LIBER ✦
Multipliers of Fractional Cauchy Transforms
✍ Scribed by Evgueni Doubtsov
- Book ID
- 105760579
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2009
- Tongue
- English
- Weight
- 294 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The Growth of Derivatives of Multipliers
✍
D.J. Hallenbeck; K. Samotij
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 201 KB
Cauchy Transforms and Multipliers
✍
Yusuf Abu-Muhanna
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 186 KB
In this paper we prove a number of results on Cauchy transforms and multipliers. For example, we prove that if f s IF g F F , where I is an inner function 0 satisfying a certain condition and F is outer, then F g F F .
Fractional Cauchy transforms
✍
Thomas H. MacGregor
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 120 KB
This is a survey of research on the topic of fractional Cauchy transforms.
Generalized Multipliers of Families of C
✍
R.A. Hibschweiler
📂
Article
📅
1995
🏛
Elsevier Science
🌐
English
⚖ 381 KB
Composition Operators on Spaces of Fract
✍
R. A. Hibschweiler
📂
Article
📅
2010
🏛
SP Birkhäuser Verlag Basel
🌐
English
⚖ 243 KB
Extended fractional Fourier transforms
✍
Hua, Jianwen; Liu, Liren; Li, Guoqiang
📂
Article
📅
1997
🏛
Optical Society of America
🌐
English
⚖ 234 KB