Open AccessSharpness of Zapolsky's inequality for quasi-states and Poisson brackets
Author(s) -
Anat Amir
Publication year - 2011
Publication title -
electronic research announcements
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.865
H-Index - 23
ISSN - 1935-9179
DOI - 10.3934/era.2011.18.61
Subject(s) - inequality , mathematics , upper and lower bounds , norm (philosophy) , poisson bracket , poisson distribution , combinatorics , pure mathematics , mathematical analysis , statistics , law , political science , lie algebra
Zapolsky inequality gives a lower bound for the L1 norm of the Poissonbracket of a pair of C1 functions on the two-dimensional sphere by means ofquasi-states. Here we show that this lower bound is sharp.
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