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CONVOLUTION INEQUALITIES IN WEIGHTED LORENTZ SPACES

Publikace na Matematicko-fyzikální fakulta |
2014

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.