Geodesic
On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 203-215

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We obtain boundedness criteria in terms of Muckenhoupt weights for the Hardy–Littlewood maximal operator and Riesz transforms in weighted grand Morrey spaces $M^{p),q,\varphi }_w$. We also consider some structural properties of the spaces $M^{p),q,\varphi }_w$. The spaces are defined, generally speaking, on spaces of homogeneous type. The results are new even in the case of a special function $\varphi $. 
@article{TM_2021_312_a10,
     author = {V. M. Kokilashvili and A. N. Meskhi},
     title = {On the {Boundedness} of {Integral} {Operators} in {Weighted} {Grand} {Morrey} {Spaces}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {203--215},
     publisher = {mathdoc},
     volume = {312},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2021_312_a10/}
}
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V. M. Kokilashvili; A. N. Meskhi. On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 203-215. http://geodesic.mathdoc.fr/item/TM_2021_312_a10/