Equivalent expressions for norms in classical Lorentz spaces
Equivalent expressions for norms in classical Lorentz spaces
Our result generalizes a result due to Bennett–De Vore–Sharpley, where the usual Lorentz Lp,q norm is replaced by an equivalent expression involving the functional ƒ ** – ƒ *. Sufficient conditions for the boundedness of maximal Calderón–Zygmund singular integral operators between classical Lorentz spaces are also given.