The Hardy space H1 on non-homogeneous metric spaces
2011 ◽
Vol 153
(1)
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pp. 9-31
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Keyword(s):
AbstractLet (, d, μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H1(μ) and prove that its dual space is the known space RBMO(μ) in this context. Using this duality, we establish a criterion for the boundedness of linear operators from H1(μ) to any Banach space. As an application of this criterion, we obtain the boundedness of Calderón–Zygmund operators from H1(μ) to L1(μ).
Keyword(s):
1990 ◽
Vol 32
(3)
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pp. 273-276
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1985 ◽
Vol 8
(3)
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pp. 433-439
1984 ◽
Vol 96
(3)
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pp. 483-493
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Keyword(s):
2017 ◽
Vol 9
(1)
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pp. 37-47
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1974 ◽
Vol 26
(6)
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pp. 1390-1404
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