Article ID Journal Published Year Pages File Type
4616369 Journal of Mathematical Analysis and Applications 2014 8 Pages PDF
Abstract

We give a connection between the Hankel matrix acting on Dirichlet spaces DαDα, 0<α<20<α<2, and the Carleson measure supported on (−1,1)(−1,1). As an application, we prove that the generalized Hilbert operators HβHβ are always bounded on Dirichlet spaces DαDα for 0<α<20<α<2 and that the range (0,2)(0,2) of αα in our results is the best possible.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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