Calderón-Zygmund operators and commutators on weighted Lorentz spaces (Q2050706)

The paper deals with the boundedness of Calderón-Zygmund operators \(T\) in the general framework of weighted Lorentz spaces. This setting allows the authors to unify and to complete earlier known results for Lebesgue and Lorentz spaces. As the main result, the authors prove boundedness of the Calderón-Zygmund operator on weighted Lorentz spaces under certain Ariño-Muckenhoupt and Muckenhoupt conditions on the weights defining the spaces.