Unboundedness theorems for symbols adapted to large subspaces
Unboundedness theorems for symbols adapted to large subspaces
For every integer $n \geq 3$, we prove that the $n$-sublinear generalization of the bi-Carleson operator of Muscalu, Tao, and Thiele given by $$ C_{\vec{\alpha}} :(f_1,\ldots, f_n) \mapsto \sup_{M \in \mathbb{R}} \Big| \int_{\substack{\vec{\xi} \cdot \vec