We find necessary and sufficient conditions on radial weights w on the unit disc so that the Bergman type projections of Forelli-Rudin are bounded on L¹(w) and in the Herz spaces .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-4,
author = {Oscar Blasco and Salvador P\'erez-Esteva},
title = {The Bergman projection on weighted spaces: L$^1$ and Herz spaces},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {151-162},
zbl = {1008.47035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-4}
}
Oscar Blasco; Salvador Pérez-Esteva. The Bergman projection on weighted spaces: L¹ and Herz spaces. Studia Mathematica, Tome 151 (2002) pp. 151-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-4/