Abstract

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

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