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Superposition operators between spaces and Hardy spaces

✍ Scribed by Daniel Girela; María Auxiliadora Márquez


Book ID
108178578
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
204 KB
Volume
364
Category
Article
ISSN
0022-247X

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Bergman Projections and Operators on Har
✍ William S. Cohn 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 957 KB

We show that ``Toeplitz like'' operators of the form T s u f=P s (uf ), where P s is a weighted Bergman projection, are bounded on the Hardy spaces H p , for 1 p< for certain ``symbols'' u defined on the unit disk. In particular, T s u is bounded if u is of the form u=h+G+ where h is a bounded harmo