Harmonic extensions and the Böttcher-Silbermann conjecture

Gorkin, P.; Zheng, D.

Gorkin, P. ; Zheng, D.

Studia Mathematica, Tome 129 (1998), p. 201-222 / Harvested from The Polish Digital Mathematics Library

Résumé

We present counterexamples to a conjecture of Böttcher and Silbermann on the asymptotic multiplicity of the Poisson kernel of the space $L^{\infty} (\partial D)$ and discuss conditions under which the Poisson kernel is asymptotically multiplicative.

Publié le : 1998-01-01

Zbl 0896.46035

EUDML-ID : urn:eudml:doc:216468

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     author = {P. Gorkin and D. Zheng},
     title = {Harmonic extensions and the B\"ottcher-Silbermann conjecture},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {201-222},
     zbl = {0896.46035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv127i3p201bwm}
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Gorkin, P.; Zheng, D. Harmonic extensions and the Böttcher-Silbermann conjecture. Studia Mathematica, Tome 129 (1998) pp. 201-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv127i3p201bwm/

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