caa a22 4500 386307695 CHVBK 20180307111535.0 cr unu---uuuuu 161130e198808 xx s 000 0 eng 10.1017/S1446788700032298 doi S1446788700032298 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700032298 Brown Gavin School of Mathematics University of New South Wales Kensington, N.S.W. 2033, Australia Some inequalities that arise in measure theory [Elektronische Daten] [Gavin Brown] The Lebesgue measure, λ (E + F), of the algebraic sum of two Borel sets, E, F of the classical "middle-thirds' Cantor set on the circle can be estimated by evaluating the Cantor meaure, μ of the summands. For example log λ (E + F) exceeds a fixed scalar multiple of log μ (E)+ log μ (F). Several numerical inequalities which are required to prove this and related results look tantalizingly simple and basic. Here we isolate them from the measure theory and present a common format and proof. Copyright © Australian Mathematical Society 1988 primary 26 D 20 nationallicence secondary 43 A 05, 43 A 10 nationallicence Journal of the Australian Mathematical Society Cambridge University Press 45/1(1988-08), 83-94 1446-7887 45:1<83 1988 45 JAZ https://doi.org/10.1017/S1446788700032298 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700032298 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Brown Gavin School of Mathematics University of New South Wales Kensington, N.S.W. 2033, Australia NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 45/1(1988-08), 83-94 1446-7887 45:1<83 1988 45 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge