Dimension-free bounds for {R}iesz transforms on the {H}amming cube via a {B}ellman function

arXiv:2606.20289v1 Announce Type: cross Abstract: We give a Bellman-function proof of the dimension-free estimate \[ \Big\| \vec{R} f \Big\|_{L^p(\Omega;\,\ell^2)} \lesssim (p-1) \,\|f\|_{L^p(\Omega)}, \qquad 2\le p