Let Π₂ be the operator ideal of all absolutely 2-summing operators and let be the identity map of the m-dimensional linear space. We first establish upper estimates for some mixing norms of . Employing these estimates, we study the embedding operators between Besov function spaces as mixing operators. The result obtained is applied to give sufficient conditions under which certain kinds of integral operators, acting on a Besov function space, belong to Π₂; in this context, we also consider the case of the square Π₂ ∘ Π₂.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-1,
author = {M. A. Fugarolas},
title = {Besov spaces and 2-summing operators},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {1-8},
zbl = {1077.47021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-1}
}
M. A. Fugarolas. Besov spaces and 2-summing operators. Colloquium Mathematicae, Tome 100 (2004) pp. 1-8. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm100-1-1/