Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications

In this paper, we give the definition of local variable Morrey–Lorentz spaces Mp(⋅),q(⋅),λloc(Rn) which are a new class functions. Also, prove boundedness Hardy–Littlewood maximal operator M and Calderón–Zygmund operators T on these spaces. Finally, apply results to Bochner–Riesz Brδ, identity approximation Aε Marcinkiewicz μΩ Mp(⋅),q(⋅),λloc(Rn).