Vertical symbols,Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions |
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| Authors: | Crispin Herrera Yañez Ondrej Hutník Egor A Maximenko |
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| Institution: | 1. Departamento de Matemáticas, CINVESTAV, Apartado Postal 14-740, 07000, D.F. México, Mexico;2. Institute of Mathematics, Faculty of Science, P. J. Šafárik University in Košice, Jesenná 5, 040 01 Košice, Slovakia;3. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, 07730, D.F. México, Mexico |
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| Abstract: | Extending a recent result of Herrera Yañez, Maximenko and Vasilevski, we provide a further step in the structural analysis of algebras generated by Toeplitz operators on weighted Bergman spaces over the upper half-plane. We show that the set of “spectral” functions corresponding to Toeplitz operators generated by bounded vertical symbols is dense in the C?-algebra of very slowly oscillating functions on the positive half-line. |
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