Generalized multiplication operators on weighted hardy spaces
β Scribed by Sunil Kumar Sharma; B. S. Komal
- Book ID
- 114994495
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 423 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1995-0802
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let , be analytic functions defined on β«,ήβ¬ such that β«ήβ¬ : β«.ήβ¬ The operator Ε½ . given by f Β¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ε½ . ity of weighted composition operators on Hardy spaces H 1
We show that if 0p -Ο± then the operator Gf s H f z dr 1 y z β«Ε½ . p p Ε½ < <. maps the Hardy space H to L d if and only if is a Carleson measure. Ε½ . Here β« is the usual nontangential approach region with vertex on the unit and d is arclength measure on the circle. We also show that if 0p F 1, β€ ) 0