On the Structure of a Limit Class of Logarithmic Interpolation Spaces

Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation

“…However, some problems in mathematical analysis have motivated the investigation of the real interpolation with the limiting values $$\theta =0$$ or $$\theta =1$$. Nowadays, there is a lot of work, where the limiting real interpolation is studied or applied (see, e.g., [1, 2, 5, 10–13, 16–18, 21–27, 29, 31, 39] and the references given there).…”

“…If the weight function v is of logarithmic form, then the answer is given in [14] for the case that a pair $$(X_0,X_1)$$ of Banach spaces X 0 and X 1 is ordered, and in [15] and [5] for a general pair $$(X_0,X_1)$$ of Banach spaces X 0 and X 1 .…”