Weighted Hardy Space Estimates for Commutators of Calderón–Zygmund Operators
Weighted Hardy Space Estimates for Commutators of Calderón–Zygmund Operators
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DOI：
10.1007/s10013-020-00406-2
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发表时间：
2020-04
影响因子：
0.8
通讯作者：
Duong Quoc Huy;Luong Dang Ky
中科院分区：
文献类型：
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作者：
Duong Quoc Huy;Luong Dang Ky
设δ∈（0，1]，T是δ-Calderón-Zygmund算子.设p ∈（0，1]使得p（1 +δ/n）> 1，并假定w属于Muckenhoupt权类，且具有性质.当时，交换子[B，T]从m到t是有界的，且不是常数函数.本文找到了的一个真子空间，使得如果，则[B，T]从加权哈代空间到加权Lebesgue空间是有界的.反之，如果和经典Riesz变换的算子从到有界，则。
Letδ∈ (0,1] andTbe aδ-Calderón–Zygmund operator. Letp∈ (0,1] be such thatp(1 +δ/n) > 1, and assume thatwbelongs to the Muckenhoupt weight classwith the property. When, it is well-know that the commutator [b,T] is not bounded fromintoifbis not a constant function. In this paper, we find a proper subspaceofsuch that, if, then [b,T] is bounded from the weighted Hardy spaceinto the weighted Lebesgue space. Conversely, ifand the commutatorsof the classical Riesz transforms are bounded frominto, then.