On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products
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Ewa Ligocka (1983)
Banach Center Publications
Jaak Peetre, Miroslav Englis (1996)
Mathematica Scandinavica
Yûsaku Komatu (1985)
Annales Polonici Mathematici
Stephen D. Fisher, Charles A. Micchelli (1985/1986)
Mathematische Annalen
Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)
Studia Mathematica
We introduce a sequence of Hankel style operators , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the and show, among other things, that are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.
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