Geodesic
About $\mathscr{K}$-divisibility constant in pair of weighted $L_p$ spaces
Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 2, pp. 192-195

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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 ${2\leqslant}\lambda{\leqslant}4$. 
@article{DVMG_2013_13_2_a2,
     author = {A. A. Dmitriev},
     title = {About $\mathscr{K}$-divisibility constant in pair of weighted $L_p$ spaces},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {192--195},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2013_13_2_a2/}
}
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A. A. Dmitriev. About $\mathscr{K}$-divisibility constant in pair of weighted $L_p$ spaces. Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 2, pp. 192-195. http://geodesic.mathdoc.fr/item/DVMG_2013_13_2_a2/