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
.
AMS Subject Classifications:
Disclosure statement
No potential conflict of interest was reported by the author(s).