The Berezin transform and Toeplitz operators on the Bergman space over the quarter plane
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Abstract
In this note, we introduce Bergman spaces on the complex upper-right quarter-plane (the first quadrant), and establish some of their fundamental properties. Moreover, we study the associated Berezin transform, and we deduce characterizations of bounded as well as compact Toeplitz operators with symbols that are either harmonic or continuous.
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Guediri, H. (2024). The Berezin transform and Toeplitz operators on the Bergman space over the quarter plane. Gulf Journal of Mathematics, 16(2), 12-26. https://doi.org/10.56947/gjom.v16i2.1841
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