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王梦 《浙江大学学报(理学版)》2003,30(4):361-364
用旋转法结合Fourier估计以及Littlewood-Paley理论给出了乘积空间上带粗糙核的极大奇异积分算子的Lp有界性.证明了对于Ω∈Lq(Sn-1×Sm1),其中q>1,∫ sn-1Ω(x',y')dx'=0, y'∈Sm-1,∫ sm-1Ω(x',y')dy'=0, x'∈Sn-1,且b,h∈L∞(R1+),则积域上极大奇异积分算子T*(f)=supε1>0,ε2>0∫∫|u|>ε1|v|>ε2b(|u|)h (|v|)Ω(u',v')/|v|n|v|mf(x-u,y-v)dudv为Lp(Rn×Rm)有界,其中1<p<∞.从而改进了以往的结果. 相似文献
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本文考虑向列相液晶的动力学方程的Cauchy问题,并给出温和解在C([0, T); L~n)中解的唯一性. 相似文献
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证明了当N的万有覆盖上存在一个多项式增长的非负严格凸函数时,不存在从R~3到N的非平凡拟调和球.于是在dim M=3时推广了Eells-Sampson的定理. 相似文献
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王梦 《浙江大学学报(理学版)》1999,26(4):1-7
本文讨论了乘积域Rn×Rm上一类带粗糙核的奇异积分算子的Lp(Rn×Rm)有界性。这里,Ω为原子Hardy空间H1a(Sn-1×Sm-1)中的函数,h为L∞(Lq)(R+×R+)中的径向函数,Φ(t)满足一定的增长条件。 相似文献
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Charge compensation and capacity fading in LiCoO_2 at high voltage investigated by soft x-ray absorption spectroscopy 下载免费PDF全文
In order to obtain an in-depth insight into the mechanism of charge compensation and capacity fading in LiCoO_2, the evolution of electronic structure of LiCoO_2 at different cutoff voltages and after different cycles are studied by soft x-ray absorption spectroscopy in total electron(TEY) and fluorescence(TFY) detection modes, which provide surface and bulk information, respectively. The spectra of Co L2,3-edge indicate that Co contributes to charge compensation below 4.4 V.Combining with the spectra of O K-edge, it manifests that only O contributes to electron compensation above 4.4 V with the formation of local O 2 p holes both on the surface and in the bulk, where the surficial O evolves more remarkably. The evolution of the O 2 p holes gives an explanation to the origin of O_2~-or even O_2. A comparison between the TEY and TFY of O K-edge spectra of LiCoO_2 cycled in a range from 3 V to 4.6 V indicates both the structural change in the bulk and aggregation of lithium salts on the electrode surface are responsible for the capacity fading. However, the latter is found to play a more important role after many cycles. 相似文献
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证明了Hausdorff算子HΦ及HΦ,A在Triebel-Lizorkin型空间Fα,τp,q,上的有界性,并且求得HΦ相应的算子范数. 相似文献
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使用在线同步辐射广角X射线衍射(WAXD)和原位变温傅里叶红外(FTIR)研究了无规聚丙烯腈(at-PAN)纤维热处理过程中晶区的相转变行为.研究发现,WAXD图像中由(110)晶面衍射形成的衍射弧在加热过程中其q值随温度的变化速率不完全一致,在110℃存在突变点,此温度下晶区的热膨胀率从4.15×10-4nm/K(α1)突变为1.13×10-3nm/K(α2),同时DSC曲线在110℃附近出现放热峰,说明发生了晶胞结构转变.通过升温FTIR测试发现1230 cm-1和1250 cm-1处吸收峰的相对强度随热处理过程也发生变化,两峰峰强分别对应纤维中31螺旋构象与平面锯齿构象的相对含量,通过C=I1250/I1230与热处理温度的关系发现C值在110℃突然急剧减小,说明at-PAN纤维晶区分子链在110℃附近发生了平面锯齿构象向31螺旋构象的剧烈转变,而正是由于这种转变导致晶区层间距的变化使得WAXD图像中衍射弧的位置随温度变化速率不一致,即相转变行为是由分子链构象的变化引起的. 相似文献
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