We study the spaces of Lorentz-Zygmund multipliers on compact abelian groups and show that many of these spaces are distinct. This generalizes earlier work on the non-equality of spaces of Lorentz multipliers.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-4,
author = {Kathryn E. Hare and Parasar Mohanty},
title = {Distinctness of spaces of Lorentz-Zygmund multipliers},
journal = {Studia Mathematica},
volume = {166},
year = {2005},
pages = {143-161},
zbl = {1154.43300},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-4}
}
Kathryn E. Hare; Parasar Mohanty. Distinctness of spaces of Lorentz-Zygmund multipliers. Studia Mathematica, Tome 166 (2005) pp. 143-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-4/