Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball
Małgorzata Michalska ; Maria Nowak ; Paweł Sobolewski
Annales Polonici Mathematici, Tome 98 (2010), p. 45-53 / Harvested from The Polish Digital Mathematics Library
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We prove a sufficient condition for products of Toeplitz operators TfTḡ, where f,g are square integrable holomorphic functions in the unit ball in ℂⁿ, to be bounded on the weighted Bergman space. This condition slightly improves the result obtained by K. Stroethoff and D. Zheng. The analogous condition for boundedness of products of Hankel operators HfH*g is also given.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:280298 
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     title = {Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball},
     journal = {Annales Polonici Mathematici},
     volume = {98},
     year = {2010},
     pages = {45-53},
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Małgorzata Michalska; Maria Nowak; Paweł Sobolewski. Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball. Annales Polonici Mathematici, Tome 98 (2010) pp. 45-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-4/