We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-14,
author = {V. G. Miller},
title = {The Ces\`aro and related operators, a survey},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {233-247},
zbl = {1128.47034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-14}
}
V. G. Miller. The Cesàro and related operators, a survey. Banach Center Publications, Tome 75 (2007) pp. 233-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-14/