The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case (Q2039383)

Summary: We study the description by means of the \(J\)-functional of logarithmic interpolation spaces \((A_0, A_1)_{1,q,\mathbb{A}}\) in the category of the \(p\)-normed quasi-Banach couples \((0<p\leq 1)\). When \((A_0, A_1)\) is a Banach couple, it is known that the description changes depending on the relationship between \(q\) and \(\mathbb{A}\). In our more general setting, the parameter \(p\) also has an important role as the results show.