On the bilinear square Fourier multiplier operators and related multilinear square functions

Zengyan Si, Qingying Xue, Kozo Yabuta

Let $n\ge 1$ and ${\mathfrak{T}}_m$ be the bilinear square Fourier multiplier operator associated with a symbol $m$, which is defined by $$ \mathfrak{T}_{m}(f_1,f_2)(x) = \biggl( \…