變量核奇異積分和分?jǐn)?shù)次微分加權(quán)范不等式
發(fā)布時(shí)間:2022-07-07 10:10
用T和Dγ(0≤γ≤1)分別表示變量核奇異積分和分?jǐn)?shù)次微分算子.T*和T#分別為T的共軛算子及擬共軛算子.利用球調(diào)和多項(xiàng)式展式,本文得到了TDγ-DγT和(T*-T#)Dγ在Bωq,λ(Rn)上的有界性.同時(shí)也得到了變量核奇異積分的積T1T2和擬積T1■T2的加權(quán)范不等式.
【文章頁數(shù)】:16 頁
【參考文獻(xiàn)】:
期刊論文
[1]Boundedness for the Singular Integral with Variable Kernel and Fractional Differentiation on Weighted Morrey Spaces[J]. Chao Xue,Kai Zhu,Yanping Chen. Analysis in Theory and Applications. 2016(03)
[2]Weighted boundedness of some integral operators on weighted λ-central Morrey space[J]. YU Xiao,ZHANG Hui-hui,ZHAO Guo-ping. Applied Mathematics:A Journal of Chinese Universities. 2016(03)
[3]變量核奇異積分與分?jǐn)?shù)次微分的加權(quán)Morrey-Herz空間有界性[J]. 陶雙平,楊沿奇. 吉林大學(xué)學(xué)報(bào)(理學(xué)版). 2016(04)
[4]分?jǐn)?shù)次積分算子交換子在λ-中心Morrey空間上的加權(quán)有界性[J]. 趙凱,董鵬娟,邵帥. 山東大學(xué)學(xué)報(bào)(理學(xué)版). 2011(12)
本文編號:3656232
【文章頁數(shù)】:16 頁
【參考文獻(xiàn)】:
期刊論文
[1]Boundedness for the Singular Integral with Variable Kernel and Fractional Differentiation on Weighted Morrey Spaces[J]. Chao Xue,Kai Zhu,Yanping Chen. Analysis in Theory and Applications. 2016(03)
[2]Weighted boundedness of some integral operators on weighted λ-central Morrey space[J]. YU Xiao,ZHANG Hui-hui,ZHAO Guo-ping. Applied Mathematics:A Journal of Chinese Universities. 2016(03)
[3]變量核奇異積分與分?jǐn)?shù)次微分的加權(quán)Morrey-Herz空間有界性[J]. 陶雙平,楊沿奇. 吉林大學(xué)學(xué)報(bào)(理學(xué)版). 2016(04)
[4]分?jǐn)?shù)次積分算子交換子在λ-中心Morrey空間上的加權(quán)有界性[J]. 趙凱,董鵬娟,邵帥. 山東大學(xué)學(xué)報(bào)(理學(xué)版). 2011(12)
本文編號:3656232
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