BMO Functions Generated by
A
X
ℝ
n
Weights on Ball Banach Function Spaces
Keyword(s):
Let X be a ball Banach function space on ℝ n . We introduce the class of weights A X ℝ n . Assuming that the Hardy-Littlewood maximal function M is bounded on X and X ′ , we obtain that BMO ℝ n = α ln ω : α ≥ 0 , ω ∈ A X ℝ n . As a consequence, we have BMO ℝ n = α ln ω : α ≥ 0 , ω ∈ A L p · ℝ n ℝ n , where L p · ℝ n is the variable exponent Lebesgue space. As an application, if a linear operator T is bounded on the weighted ball Banach function space X ω for any ω ∈ A X ℝ n , then the commutator b , T is bounded on X with b ∈ BMO ℝ n .
2003 ◽
Vol 1
(1)
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pp. 45-59
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2007 ◽
Vol 49
(3)
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pp. 431-447
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2020 ◽
Vol 12
(2)
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pp. 90-111
1985 ◽
Vol 37
(5)
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pp. 921-933
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1969 ◽
Vol 21
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pp. 1245-1254
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Keyword(s):
2012 ◽
Vol 2012
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pp. 1-10
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1993 ◽
Vol 04
(04)
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pp. 551-600
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2018 ◽
Vol 61
(1)
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pp. 231-248
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