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/