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Cauchy Transforms and Multipliers

✍ Scribed by Yusuf Abu-Muhanna

Book ID
102595232
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
186 KB
Volume
213
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

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 .

πŸ“œ SIMILAR VOLUMES

The Growth of Derivatives of Multipliers
The Growth of Derivatives of Multipliers of Fractional Cauchy Transforms
✍ D.J. Hallenbeck; K. Samotij πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 201 KB

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

Fractional Cauchy transforms
Fractional Cauchy transforms
✍ Thomas H. MacGregor πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 120 KB

This is a survey of research on the topic of fractional Cauchy transforms.