Compactness of Commutators for Singular Integrals on Morrey Spaces
2012 ◽
Vol 64
(2)
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pp. 257-281
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AbstractIn this paper we characterize the compactness of the commutator [b, T] for the singular integral operator on the Morrey spaces . More precisely, we prove that if , the -closure of , then [b, T] is a compact operator on the Morrey spaces for ∞ < p < ∞ and 0 < ⋋ < n. Conversely, if and [b, T] is a compact operator on the for some p (1 < p < ∞), then . Moreover, the boundedness of a rough singular integral operator T and its commutator [b, T] on are also given. We obtain a sufficient condition for a subset in Morrey space to be a strongly pre-compact set, which has interest in its own right.
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2003 ◽
Vol 1
(1)
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pp. 35-43
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2009 ◽
Vol 7
(3)
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pp. 301-311
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2009 ◽
Vol 282
(2)
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pp. 219-231
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2005 ◽
Vol 2005
(5)
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pp. 657-669
2017 ◽
Vol 68
(2)
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pp. 145-174
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2015 ◽
Vol 6
(3)
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pp. 413-426
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