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On Hardy and Bergman spaces on complex Ol'shanskiı semigroups

✍ Scribed by Bernhard Krötz


Publisher
Springer
Year
1998
Tongue
English
Weight
430 KB
Volume
312
Category
Article
ISSN
0025-5831

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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