Orthogonal polynomials and middle Hankel operators on Bergman spaces
Peng, Lizhong ; Rochberg, Richard ; Wu, Zhijian
Studia Mathematica, Tome 103 (1992), p. 57-75 / Harvested from The Polish Digital Mathematics Library
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We introduce a sequence of Hankel style operators Hk, 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 Hk and show, among other things, that Hk are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:215914 
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     author = {Lizhong Peng and Richard Rochberg and Zhijian Wu},
     title = {Orthogonal polynomials and middle Hankel operators on Bergman spaces},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {57-75},
     zbl = {0809.30008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p57bwm}
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Peng, Lizhong; Rochberg, Richard; Wu, Zhijian. Orthogonal polynomials and middle Hankel operators on Bergman spaces. Studia Mathematica, Tome 103 (1992) pp. 57-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p57bwm/

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