R-BOUNDEDNESS

作品数：3被引量：3H指数：1
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相关期刊：《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《Advances in Pure Mathematics》更多>>
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Periodic Solutions in UMD Spaces for Some Neutral Partial Functional Differential Equations被引量：1
《Advances in Pure Mathematics》2016年第10期713-726,共15页Rachid Bahloul Khalil Ezzinbi Omar Sidki 
The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators Lp-multipliers and UMD-s...
关键词：Neutral Partial Functional Differential Equations Periodic Solutions R-BOUNDEDNESS Lp-Multipliers UMD Spaces 
On operator-valued Fourier multipliers
《Science China Mathematics》2006年第4期574-576,共3页BU Shangquan 
supported by"Maximal Regularity for Vector-valued Boundary Problems"from the National Natural Science Foundation of China(Grant No.10571099);Specialized Research Fund for the Doctoral Program of Higher Education and the Tsinghua Basic Research Foundation(Grant No.JCpy2005056).
We give a simpler proof of a result on operator-valued Fourier multipliers on Lp([0, 2π]d; X) using an induction argument based on a known result when d= 1.
关键词：operator-valued Fourier multipliers R-BOUNDEDNESS UMD spaces property (a) and unconditional Schauder decompositions. 
SOME REMARKS ABOUT THE R-BOUNDEDNESS被引量：2
《Chinese Annals of Mathematics,Series B》2004年第3期421-432,共12页BUSHANGQUAN 
Project supported by the National Natural Science Foundation of China (No.10271064) and the Excel-lent Young Teachers Program of the Ministry of Education of China
Let X,Y be UMD-spaces that have property (α), 1< p< ∞ and let M be anR-bounded subset in L(X, Y). It is shown that {T(M_k)_(k∈z): M_k, k(M_(k+l)-M_k) ∈M for k∈Z} is an R-bounded subset of L(L^p (0,2π; X), L^p(0,...
关键词：Operator-valued Fourier multiplier Maximal regularity Rademacher boundedness 
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