We prove a weighted vector-valued weak type (1,1) inequality for the Bochner-Riesz means of the critical order. In fact, we prove a slightly more general result.
@article{bwmeta1.element.bwnjournal-article-smv109i2p159bwm, author = {Shuichi Sato}, title = {A weighted vector-valued weak type (1,1) inequality and spherical summation}, journal = {Studia Mathematica}, volume = {108}, year = {1994}, pages = {159-170}, zbl = {0826.42010}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv109i2p159bwm} }
Sato, Shuichi. A weighted vector-valued weak type (1,1) inequality and spherical summation. Studia Mathematica, Tome 108 (1994) pp. 159-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv109i2p159bwm/
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