GENERALIZED MORREY SPACES OVER NONHOMOGENEOUS METRIC MEASURE SPACES
2016 ◽
Vol 103
(2)
◽
pp. 268-278
◽
Keyword(s):
Let $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ be a nonhomogeneous metric measure space satisfying the so-called upper doubling and the geometric doubling conditions. In this paper, the authors give the natural definition of the generalized Morrey spaces on $({\mathcal{X}},d,\unicode[STIX]{x1D707})$, and then investigate some properties of the maximal operator, the fractional integral operator and its commutator, and the Marcinkiewicz integral operator.
2018 ◽
Vol 291
(8-9)
◽
pp. 1400-1417
◽
2017 ◽
Vol 36
(2)
◽
pp. 159-190
◽
2016 ◽
Vol 8
(1)
◽
pp. 1
2021 ◽
Vol 24
(6)
◽
pp. 1643-1669
Keyword(s):