Interpolation of weighted Orlicz spaces. (Q1412477)

Given \(\overline X=(X_0, X_1)\) a compatible couple of quasi-Banach spaces, \textit{J.~Gustavsson} and \textit{J.~Peetre} [Stud. Math. 60, 33-59 (1977; Zbl 0353.46019)] defined the interpolation functor \(\langle\overline X\rangle_\rho\), where \(\rho\) is a pseudo-concave function. In the paper under review, the author characterizes (in some cases) the space \(\langle L_{\phi_0}(w_0), L_{\phi_1}(w_1)\rangle_\rho\), where \(\phi_i\) are Orlicz functions having positive lower type and one of them satisfies the \(\Delta_2\)-condition. Reviewer's remark: The reviewer is very much surprised by the following sentence stated in the abstract: ``There are only few papers which are concerned with the interpolation theory of these spaces.''