Parameter
θ
-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces
Keyword(s):
Let X , d , μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ -type Marcinkiewicz integral M θ ρ is bounded on the weighted generalized Morrey space L p , ϕ , τ ω for p ∈ 1 , ∞ . Furthermore, the boudedness of M θ ρ on weak weighted generalized Morrey space W L p , ϕ , τ ω is also obtained.
2016 ◽
Vol 103
(2)
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pp. 268-278
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2015 ◽
Vol 13
(3)
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pp. 1151-1165
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Keyword(s):
2021 ◽
Vol 24
(6)
◽
pp. 1643-1669
Keyword(s):
2015 ◽
Vol 90
(2)
◽
pp. 149-172