Displaying similar documents to “Composition operators and the Hilbert matrix”

On the Hardy-type integral operators in Banach function spaces.

Elena Lomakina, Vladimir Stepanov (1998)

Publicacions Matemàtiques

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Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.

Approximation problems and representations of Hardy spaces in circular domains

I. Chalendar, J. Partington (1999)

Studia Mathematica

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We derive various approximation results in the theory of Hardy spaces on circular domains G. Two applications are given, one to operators which admit a nice representation of H ( G ) , and the other to extremal problems with links to the theory of differential equations.

Hardy space estimates for multilinear operators (I).

Ronald R. Coifman, Loukas Grafakos (1992)

Revista Matemática Iberoamericana

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In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the H space context.