An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces (Q1269622)

An extension of the Marcinkiewicz weak interpolation theorem for quasilinear operators to the case when the spaces generating the interpolation are Orlicz spaces is proved. The result requires some auxiliary functions \(E_{\Phi,\beta}(s)\), \(F_{\Phi,\beta}(s)\), \(G_{\Phi,\beta}(s)\) and \(H_{\Phi,\beta}(s)\) depending on an Orlicz function \(\Phi\) and is obtained by means of real methods.