Geodesic
On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces
Informatics and Automation, 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{TRSPY_2021_312_a10,
     author = {V. M. Kokilashvili and A. N. Meskhi},
     title = {On the {Boundedness} of {Integral} {Operators} in {Weighted} {Grand} {Morrey} {Spaces}},
     journal = {Informatics and Automation},
     pages = {203--215},
     publisher = {mathdoc},
     volume = {312},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a10/}
}
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V. M. Kokilashvili; A. N. Meskhi. On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces. Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 203-215. http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a10/