caa a22 4500 46904358X CHVBK 20180323132817.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01200698 doi (NATIONALLICENCE)springer-10.1007/BF01200698 Toeplitz and Hankel type operators on the upper half-plane [Elektronische Daten] [Qingtang Jiang, Lizhong Peng] 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 measurey α dxdy. 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. Birkhäuser Verlag, 1992 47 B 35 nationallicence 47 B 10 nationallicence 33 C 45 nationallicence Jiang Qingtang Institute of mathematics, Peking University, 100871, Beijing, P. R. China aut Peng Lizhong Institute of mathematics, Peking University, 100871, Beijing, P. R. China aut Integral Equations and Operator Theory Birkhäuser-Verlag 15/5(1992-09-01), 744-767 0378-620X 15:5<744 1992 15 20 https://doi.org/10.1007/BF01200698 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01200698 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jiang Qingtang Institute of mathematics, Peking University, 100871, Beijing, P. R. China aut NATIONALLICENCE 700 1- Peng Lizhong Institute of mathematics, Peking University, 100871, Beijing, P. R. China aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag 15/5(1992-09-01), 744-767 0378-620X 15:5<744 1992 15 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer