On a Question of N. Th. Varopoulos and the constant $C_2(n)$

Rajeev Gupta, Samya Kumar Ray

Let ${\mathbb{C}}_k[Z_1,\dots ,Z_n]$ denote the set of all polynomials of degree at most $k$ in $n$ complex variables and ${\mathcal{C}}_n$ denote the set of all $n$ - tuple $\boldsymb…