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On Littlewood"s constants
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2005 (English)In: Bulletin of the London Mathematical Society, ISSN 0024-6093, E-ISSN 1469-2120, Vol. 37, 719-726 p.Article in journal (Refereed) Published
Abstract [en]

In two papers, Littlewood studied seemingly unrelated constants: (i) the best alpha such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most const -n(alpha), and (ii) the extremal growth rate beta of the length of Green's equipotentials for simply connected domains. These two constants are shown to coincide, thus greatly improving known estimates on a.

Place, publisher, year, edition, pages
2005. Vol. 37, 719-726 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37746DOI: 10.1112/S0024609305004522ISI: 000232729600010Scopus ID: 2-s2.0-26444522298OAI: oai:DiVA.org:kth-37746DiVA: diva2:435066
Available from: 2011-08-17 Created: 2011-08-17 Last updated: 2017-12-08Bibliographically approved

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