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Toeplitz Corona Theorems for the Polydisk and the Unit Ball

✍ Scribed by Tavan T. Trent; Brett D. Wick

Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
429 KB
Volume
3
Category
Article
ISSN
1661-8254

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Hankel- and Toeplitz-Type Operators on the Unit Ball
✍ Jianxun He 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Let B m be the unit ball in the m-dimensional complex plane C m with the weighted measure From the viewpoint of the Cauchy-Riemann operator we give an orthogonal direct sum decomposition for L 2 B m dµ α z , i.e., L 2 B m dµ α z = ⊕ n∈Z + σ∈ A σ n , where the components A + + + 0 and A ---0 are jus