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A Riesz representation formula for super-biharmonic functions
2001 (engelsk)Inngår i: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, E-ISSN 1798-2383, Vol. 26, nr 2, s. 305-324Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Let u be a real-valued function defined on the unit disk D. We call u super-biharmonic provided that u is locally integrable and the bi-laplacian Delta (2)u is a positive distribution on D. In this paper, we shall establish a representation formula for super-biharmonic functions, This formula can be regarded as an analogue of the Poisson-Jensen representation formula for subharmonic functions.

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2001. Vol. 26, nr 2, s. 305-324
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URN: urn:nbn:se:kth:diva-20923ISI: 000170821800002OAI: oai:DiVA.org:kth-20923DiVA, id: diva2:339620
Merknad
QC 20100525Tilgjengelig fra: 2010-08-10 Laget: 2010-08-10 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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