Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Sharpening Holder's inequality. / Hedenmalm, H.; Stolyarov, D. M.; Vasyunin, V. I.; Zatitskiy, P. B.
в: Journal of Functional Analysis, Том 275, № 5, 01.09.2018, стр. 1280-1319.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Sharpening Holder's inequality
AU - Hedenmalm, H.
AU - Stolyarov, D. M.
AU - Vasyunin, V. I.
AU - Zatitskiy, P. B.
PY - 2018/9/1
Y1 - 2018/9/1
N2 - We strengthen Hölder's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of the Pythagorean theorem for the Lp-spaces. Our treatment of the subject matter is based on Bellman functions of four variables.
AB - We strengthen Hölder's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of the Pythagorean theorem for the Lp-spaces. Our treatment of the subject matter is based on Bellman functions of four variables.
KW - Hölder's inequality
KW - Pythagorean theorem
KW - Sharpening
KW - BELLMAN FUNCTION
KW - EXTREMAL PROBLEMS
KW - BMO
KW - Holder's inequality
UR - http://www.scopus.com/inward/record.url?scp=85047084973&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2018.05.003
DO - 10.1016/j.jfa.2018.05.003
M3 - Article
AN - SCOPUS:85047084973
VL - 275
SP - 1280
EP - 1319
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 5
ER -
ID: 35958223