Let pe(1/2,1]p e(1/2,1]pe(1/2,1] and let f:Z→Rf:\mathbb{Z}\to\mathbb{R}f:Z→R be a function in ellp(Z)ell^{p}(\mathbb{Z})ellp(Z). Write Varpf{\rm Var}_p fVarpf for the ppp-variation of fff, and let MfMfMf denote the centered di…