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- W3100646079 abstract "In this work we study the essential spectra of composition operators on weighted Bergman spaces of analytic functions which might be termed as quasi-parabolic. This is the class of composition operators on $A_{alpha}^{2}$ with symbols whose conjugate with the Cayley transform on the upper half-plane are of the form $varphi(z)=$ $z+psi(z)$, where $psiin$ $H^{infty}(mathbb{H})$ and $Im(psi(z)) > epsilon > 0$. We especially examine the case where $psi$ is discontinuous at infinity. A new method is devised to show that this type of composition operators fall in a C*-algebra of Toeplitz operators and Fourier multipliers. This method enables us to provide new examples of essentially normal composition operators and to calculate their essential spectra." @default.
- W3100646079 created "2020-11-23" @default.
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- W3100646079 date "2016-06-27" @default.
- W3100646079 modified "2023-10-17" @default.
- W3100646079 title "Quasi-parabolic Composition Operators on Weighted Bergman Spaces" @default.
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- W3100646079 doi "https://doi.org/10.1007/s11785-016-0577-9" @default.
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