A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces L(p,q) is developed. Instead symmetrization methods we use a monotonicity property of special Stiltjes' means.
@article{urn:eudml:doc:44324,
title = {Comparison theorems of isoperimetric type for moments of compact sets.},
journal = {Collectanea Mathematica},
volume = {55},
year = {2004},
pages = {1-9},
zbl = {1074.26006},
mrnumber = {MR2028176},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44324}
}
Avkhadiev, F. G.; Kayumov, I. R. Comparison theorems of isoperimetric type for moments of compact sets.. Collectanea Mathematica, Tome 55 (2004) pp. 1-9. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44324/