Fractional Cauchy transforms
β Scribed by Thomas H. MacGregor
- Book ID
- 104338893
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 120 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
This is a survey of research on the topic of fractional Cauchy transforms.
π SIMILAR VOLUMES
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 Ε½ . Ε½ . y w . for r g 0, 1 . This result is proved
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 .