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Sharp Lp estimates on BMO. / Slavin, Leonid; Vasyunin, Vasily.
в: Indiana University Mathematics Journal, Том 61, № 3, 01.12.2012, стр. 1051-1110.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Sharp Lp estimates on BMO
AU - Slavin, Leonid
AU - Vasyunin, Vasily
PY - 2012/12/1
Y1 - 2012/12/1
N2 - We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMOfunctions. These appear as solutions to a series of Monge-Ampère boundary value problems on a non-convex plane domain. The knowledge of the Bellman functions leads to sharp constants in inequalities relating average oscillations of BMO functions and various BMO norms.
AB - We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMOfunctions. These appear as solutions to a series of Monge-Ampère boundary value problems on a non-convex plane domain. The knowledge of the Bellman functions leads to sharp constants in inequalities relating average oscillations of BMO functions and various BMO norms.
KW - BMO
KW - Explicit Bellman function
KW - Monge-Ampère equation
KW - Norm equivalence
UR - http://www.scopus.com/inward/record.url?scp=84880908190&partnerID=8YFLogxK
U2 - 10.1512/iumj.2012.61.4651
DO - 10.1512/iumj.2012.61.4651
M3 - Article
AN - SCOPUS:84880908190
VL - 61
SP - 1051
EP - 1110
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
SN - 0022-2518
IS - 3
ER -
ID: 49879026