Interior compact subspaces and differentiation in model subspaces.
Baranov, A.D. (2005)
Zapiski Nauchnykh Seminarov POMI
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Baranov, A.D. (2005)
Zapiski Nauchnykh Seminarov POMI
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Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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Shinji Yamashita (1983)
Annales Polonici Mathematici
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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...
B. Florkiewicz, A. Rybarski (1972)
Colloquium Mathematicae
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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Wu, Changhong, Liu, Lanzhe (2006)
Lobachevskii Journal of Mathematics
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Oguntuase, J.A., Persson, L.-E., Essel, E.K., Popoola, B.A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Avkhadiev, F.G., Wirths, K.-J. (2002)
Lobachevskii Journal of Mathematics
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Liu, Lanzhe (2003)
Lobachevskii Journal of Mathematics
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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.