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Boundedness for a class of fractional integrals with a rough kernel related to block spaces 被引量:2

Boundedness for a class of fractional integrals with a rough kernel related to block spaces
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摘要 We prove the boundedness of fractional integral with a rough kernel on Triebel-Lizorkin spaces, where the rough kernel belongs to the block space and does not need to satisfy any moment conditions on the unit sphere. We prove the boundedness of fractional integral with a rough kernel on Triebel-Lizorkin spaces, where the rough kernel belongs to the block space and does not need to satisfy any moment conditions on the unit sphere.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第1期173-187,共15页 中国高等学校学术文摘·数学(英文)
基金 This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11561057, 11471309, 11271175) and the Natural Science Foundation of Jiangxi Province (No 20151BAB211002).
关键词 Fractional integral block space Triebel-Lizorkin space FOURIERTRANSFORM INTERPOLATION Fractional integral, block space, Triebel-Lizorkin space, Fouriertransform, interpolation
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