Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces

Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces
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DOI:
10.1007/s11425-017-9416-5
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发表时间:
2020-03
期刊:
Science China Mathematics
影响因子:
--
通讯作者:
Feng Liu;Qingying Xue;K. Yabuta
Feng Liu;Qingying Xue;K. Yabuta
中科院分区:
其他
文献类型:
--
作者:
Feng Liu;Qingying Xue;K. Yabuta

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本文系统地研究了几种粗糙核极大奇异积分和粗糙核极大函数,涉及到Grafakos-Stefanov类。讨论了这些算子在triiebel - lizorkin空间和Besov空间上的有界性和连续性。
In this paper, we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in, a topic that relates to the Grafakos-Stefanov class. The boundedness and continuity of these operators on Triebel-Lizorkin spaces and Besov spaces are discussed.