Publication at Faculty of Mathematics and Physics |
2014
Abstract
We characterize boundedness of a convolution operator with a fixed kernel between the weighted Lorentz spaces Λp(v) and Γq(w) for 0 < p q oo, 1 q < p < oo and 0 < q p = oo. We provide corresponding weighted Young-type inequalities and also study basic properties of some new involved r.i. spaces.