The Isometric Isomorphism of Toeplitz Operators on

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Effects of torsion stress on the domain wall unpinning AC field in amorphous FeCoBSi wires

The unpinning or propagation field, h_p, where domain walls are unpinned and start their displacement under the AC magnetic field of as-cast amorphous wires of nominal composition (Co₉₄Fe₆)_72.5B₁₅Si_12.5, was determined for each torsion angle between –90° (counterclockwise) and +150° (clockwise) at a constant frequency of 1 kHz. A plot of h_p as a function of torsion angle showed a sharp minimum at a torsion angle of +120. The results are interpreted in terms of the counterbalance effect of the torsion against the intrinsic helical anisotropy induced during the wire fabrication.     

The Interpolation Problem on the Maximal Ideal Space of H~∞

ＴｈｅＩｎｔｅｒｐｏｌａｔｉｏｎＰｒｏｂｌｅｍｏｎｔｈｅＭａｘｉｍａｌＩｄｅａｌＳｐａｃｅｏｆＨ~∞￥ＧｕｏＫｕｎｇｕ（郭坤宇）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｉｃｈｕａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ，６１００６４）Ａｂｓ?..     

一个广义Bihari型不等式及其应用

本文对定义于一定有序局部紧空间上的向量值函数建立一个Ｂｉｈａｒｉ型积分不等式，并给出其对于非线性Ｖｏｌｔｅｒｒａ型积分方程的若干应用。     

Reducing Subspaces of Certain Analytic Toeplitz Operators on the Bergman Space

ＲｅｄｕｃｉｎｇＳｕｂｓｐａｃｅｓｏｆＣｅｒｔａｉｎＡｎａｌｙｔｉｃＴｏｅｐｌｉｔｚＯｐｅｒａｔｏｒｓｏｎｔｈｅＢｅｒｇｍａｎＳｐａｃｅ＊）ＳｕｎＳｈａｎｌｉ（孙善利）ａｎｄＷａｎｇＹｕｅｊｉａｎ（王悦健）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉ...     

二种求算晶体平面间距d_(hkl)的数学方法

用数学方法推导出结构化学晶体学中晶面间距的一般通式,并在此基础上推导出其他晶系的晶面间距(d(hkl))的计算表达式。     

The ∞‐Besov capacity problem

A theory of ∞‐Besov capacities is developed and several applications are provided. In particular, we solve an open problem in the theory of limits of the ∞‐Besov semi‐norms, we obtain new restriction‐extension inequalities, and we characterize the pointwise multipliers acting on the ∞‐Besov spaces.     

Electrokinetic particle translocation through a nanopore containing a floating electrode

Electrokinetic particle translocation through a nanopore containing a floating electrode is investigated by solving a continuum model, composed of the coupled Poisson-Nernst-Planck (PNP) equations for the ionic mass transport and the modified Stokes equations for the flow field. Two effects due to the presence of the floating electrode, the induced-charge electroosmosis (ICEO) and the particle-floating electrode electrostatic interaction, could significantly affect the electrokinetic mobility of DNA nanoparticles. When the electrical double layers (EDLs) of the DNA nanoparticle and the floating electrode are not overlapped, the particle-floating electrode electrostatic interaction becomes negligible. As a result, the DNA nanoparticle could be trapped near the floating electrode arising from the induced-charge electroosmosis when the applied electric field is relatively high. The presence of the floating electrode attracts more ions inside the nanopore resulting in an increase in the ionic current flowing through the nanopore; however, it has a limited effect on the deviation of the current from its base current when the particle is far from the pore.