About $\mathscr{K}$-divisibility constant in pair of weighted $L_p$ spaces

An estimate $ p^{\frac1p}q^{\frac1q}{\leqslant}\lambda_p$ of $\mathscr{K}$-divisibility constant has been obtained for a pair of weighted $L_p$ spaces. In view of the known estimate for $\mathscr{K}$-divisibility constant for an arbitrary pair of Banach lattices this implies that ${2\leqslant}\lambda{\leqslant}4$.