RT Journal Article
T1 Hölder's inequality: some recent and unexpected applications
A1 Alburquerque, N.
A1 Araujo, G.
A1 Pellegrino, D.
A1 Seoane-Sepúlveda, Juan B.
AB Holder's inequality, since its appearance in 1888, has played a fundamental role in Mathematical Analysis and may be considered a milestone in Mathematics. It may seem strange that, nowadays, it keeps resurfacing and bringing new insights to the mathematical community. In this survey we show how a variant of Holder's inequality (although well-known in PDEs) was essentially overlooked in Functional/Complex Analysis and has had a crucial (and in some sense unexpected) influence in very recent advances in different fields of Mathematics. Some of these recent advances have been appearing since 2012 and include the theory of Dirichlet series, the famous Bohr radius problem, certain classical inequalities (such as Bohnenblust-Hille or Hardy-Littlewood), and Mathematical Physics.
PB Belgian Mathematical Soc. Triomphe
SN 1370-1444
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/18092
UL https://hdl.handle.net/20.500.14352/18092
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO CNPq
DS Docta Complutense
RD 3 may 2024