Interpolation of Operators on Scales of Generalized Lorentz‐Zygmund Spaces
Interpolation of Operators on Scales of Generalized Lorentz‐Zygmund Spaces
Abstract We define generalized Lorentz‐Zygmund spaces and obtain interpolation theorems for quasilinear operators on such spaces, using weighted Hardy inequalities. In the limiting cases of interpolation, we discover certain scaling property of these spaces and use it to obtain fine interpolation theorems in which the source is a sum of …