On Littlewood"s constants

Journal article

In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most const ·nα, and (ii) the extremal growth rate β of the length of Green's equipotentials for simply connected domains. These two constants are shown to coincide, thus greatly improving known estimates on α. © 2005 London Mathematical Society.

Authors: Beliaev, D; Smirnov, S

• Publication status: Published
• Journal: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
• Volume: 37
• Issue: 5
• Pages: 719-726
• Publication date: 2005-10-01
• DOI: 10.1112/S0024609305004522
• EISSN: 1469-2120
• ISSN: 0024-6093
• Language: English