Asymptotic growth of Cauchy transforms.
Jones, P.W., Poltoratski, A.G. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Jones, P.W., Poltoratski, A.G. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Rein L. Zeinstra (1989)
Compositio Mathematica
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Ali Abkar (2007)
Czechoslovak Mathematical Journal
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We consider a nonnegative superbiharmonic function satisfying some growth condition near the boundary of the unit disk in the complex plane. We shall find an integral representation formula for in terms of the biharmonic Green function and a multiple of the Poisson kernel. This generalizes a Riesz-type formula already found by the author for superbihamonic functions satisfying the condition in the unit disk. As an application we shall see that the polynomials are dense in weighted...
Tolsa, Xavier, Verdera, Joan (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bordin, Benjamin, Fernandes, Iara A.A., Tozoni, Sergio A. (2002)
Portugaliae Mathematica. Nova Série
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Hasi Wulan (1998)
Commentationes Mathematicae Universitatis Carolinae
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The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for functions with their derivatives on the unit ball.
Kokilashvili, V., Meskhi, A. (2000)
Bulletin of TICMI
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