Logarithmic spaces and related trace problems (Q1280018)

In recent times logarithmic Sobolev spaces \(H^s_p(\log H)_{b,q}\) have been considered by several authors. It is the main aim of this paper to study the abstract background of these spaces in terms of \(A_\Theta(\log A)_{b,q}\) where \(A_\Theta= [A_0,A_1]_\Theta\) originates from complex interpolation. Applications, including trace theorems, to logarithmic function spaces are given.