On Littlewood"s constants
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 doma...
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| Format: | Journal article |
| Language: | English |
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2005
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| _version_ | 1797060552949760000 |
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| author | Beliaev, D Smirnov, S |
| author_facet | Beliaev, D Smirnov, S |
| author_sort | Beliaev, D |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:18:41Z |
| format | Journal article |
| id | oxford-uuid:2d0d9555-4578-45ce-b62a-1cd0c1ff66fc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:18:41Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:2d0d9555-4578-45ce-b62a-1cd0c1ff66fc2022-03-26T12:40:31ZOn Littlewood"s constantsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2d0d9555-4578-45ce-b62a-1cd0c1ff66fcEnglishSymplectic Elements at Oxford2005Beliaev, DSmirnov, SIn 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. |
| spellingShingle | Beliaev, D Smirnov, S On Littlewood"s constants |
| title | On Littlewood"s constants |
| title_full | On Littlewood"s constants |
| title_fullStr | On Littlewood"s constants |
| title_full_unstemmed | On Littlewood"s constants |
| title_short | On Littlewood"s constants |
| title_sort | on littlewood s constants |
| work_keys_str_mv | AT beliaevd onlittlewoodsconstants AT smirnovs onlittlewoodsconstants |