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Commuting Toeplitz operators with harmonic symbols

✍ Scribed by Sheldon Axler; Željko Čučković

Publisher
SP Birkhäuser Verlag Basel
Year
1991
Tongue
English
Weight
433 KB
Volume
14
Category
Article
ISSN
0378-620X

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Mellin Transform, Monomial Symbols, and
Mellin Transform, Monomial Symbols, and Commuting Toeplitz Operators
✍ Zeljko Cucković; N.V. Rao 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 350 KB

In this paper we give necessary and sufficient conditions for a symbol that produces a Toeplitz operator on the Bergman space that commutes with another such operator whose symbol is a monomial. The result is stated in terms of the Mellin transform of the symbol. As a corollary, we show that a Toepl