Toeplitz and Hankel type operators on the upper half-plane |
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Authors: | Qingtang Jiang Lizhong Peng |
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Affiliation: | (1) Institute of mathematics, Peking University, 100871 Beijing, P. R. China |
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Abstract: | An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measureydxdy. The first subspace is just the weighted Bergman (or Dzhrbashyan) space. Three types of Ha-plitz operators are defined, they are the generalization of classical Toeplitz, small and big Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.Research was supported by the National Natural Science Foundation of China. |
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Keywords: | 47 B 35 47 B 10 33 C 45 |
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