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Positivity of Toeplitz operators via Berezin transform

✍ Scribed by Zhao, Xianfeng; Zheng, Dechao


Book ID
121530759
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
306 KB
Volume
416
Category
Article
ISSN
0022-247X

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Kernels of Toeplitz Operators via Bourga
✍ Konstantin M. Dyakonov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 170 KB

Using Bourgain's factorization theorem, we characterize the subspaces of H p , 1 p , that coincide with the kernels of Toeplitz operators. This is related to (but entirely independent of) earlier work of E. Hayashi. One consequence of our characterization is that, for some inner functions %, the cla