Boundedness of Sublinear Operators
Matematičeskie zametki, Tome 102 (2017) no. 5, pp. 721-735
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The boundedness of sublinear integral operators in grand Morrey spaces
defined by means of measures generated by the Muckenhoupt weights is established.
The operators under consideration involve operators
of Harmonic Analysis such as Hardy–Littlewood and fractional maximal operators,
Calderón–Zygmund operators, potential operators etc.
Keywords:
sublinear operators, weighted Morrey spaces,
spaces of homogeneous type, weighted inequality,
singular integrals, fractional integrals.
@article{MZM_2017_102_5_a6,
author = {V. M. Kokilashvili and A. N. Meskhi and H. Rafeiro},
title = {Boundedness of {Sublinear} {Operators}},
journal = {Matemati\v{c}eskie zametki},
pages = {721--735},
publisher = {mathdoc},
volume = {102},
number = {5},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_5_a6/}
}
V. M. Kokilashvili; A. N. Meskhi; H. Rafeiro. Boundedness of Sublinear Operators. Matematičeskie zametki, Tome 102 (2017) no. 5, pp. 721-735. http://geodesic.mathdoc.fr/item/MZM_2017_102_5_a6/