Displaying similar documents to “Radial limits in co-invariant subspaces”

Hölder functions in Bergman type spaces

Yingwei Chen, Guangbin Ren (2012)

Studia Mathematica

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It seems impossible to extend the boundary value theory of Hardy spaces to Bergman spaces since there is no boundary value for a function in a Bergman space in general. In this article we provide a new idea to show what is the correct version of Bergman spaces by demonstrating the extension to Bergman spaces of a result of Hardy-Littlewood in Hardy spaces, which characterizes the Hölder class of boundary values for a function from Hardy spaces in the unit disc in terms of the growth...

Projections on Hardy spaces in the Lie ball.

David Bekollé (1994)

Publicacions Matemàtiques

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On the Lie ball w of C, n ≥ 3, we prove that for all p ∈ [1,∞), p ≠ 2, the Hardy space H(w) is an uncomplemented subspace of the Lebesgue space L(∂w, dσ), where ∂w denotes the Shilov boundary of w and dσ is a normalized invariant measure of ∂w.