A Note on a Marcinkiewicz Integral Operator

We prove the L_p boundedness of Marcinkiewicz integral operators with rough kernels on ℝⁿ and T ⁿ.     

On the Rate of Almost Everywhere Convergence of Combinations and Multivariate Averages

Potential Analysis - The main purpose of this paper is to establish results concerning the rate of almost everywhere convergence of the combinations and multivariate averages on Sobolev type spaces...     

The convergence of the Bochner-Riesz means at the critical index

In this paper, we study the pointwise convergence of the Bochner-Riesz means at the critical index on the space We weaken the hypothesis, is a Lebesgue point", which is required on some research results by instead considering the convergence of averages of the function over balls when the radials of the balls approach to 0.

     

The multiplier operators on the weighted product spaces

In this paper, we proved the boundedness of multiplier operators on the weighted product spaces.

     

An experimental and computational approach to pH‐dependent self‐aggregation of poly(2‐isopropyl‐2‐oxazoline)

Besides temperature, self‐aggregation of poly(2‐isopropyl‐2‐oxazoline) (PIPOX) can also be triggered via pH in aqueous solution (25 °C, pH > 5). Lowest energy structures and interaction energies of PIPOX with H₃O⁺, OH^?, and H₂O were calculated by DFT methods showed that, in addition to their ability to protonate PIPOX, H₃O⁺ ions had strong interaction with both water and PIPOX in acidic conditions. H₃O⁺ ions acted as compatibilizer between PIPOX and water and increased the solubility of PIPOX. OH^? ions were found to have stronger interaction with water compared to PIPOX resulting in desorption of water molecules from PIPOX phase and decreased solubility, leading to enhanced hydrophobic interactions among isopropyl groups of PIPOX and formation of aggregates at high pH. Results concerning the effect of end‐groups on aggregate size were in good agreement with statistical mechanics calculations. Moreover, the effect of polymer concentration on the aggregate size was examined. © 2018 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2019 , 57, 210–221     

Ho3+掺杂对六角YMn0.8Fe0.2O3微结构和磁性质的调控

本文利用高温固相反应法合成了六角Y_1-xHo_xMn_0.8Fe_0.2O₃多晶样品,研究Ho³⁺掺杂对YMn_0.8Fe_0.2O₃微结构以及磁性质的影响。X射线衍射和拉曼测量结果显示所有样品均为单相六角结构,当Ho³⁺掺杂浓度低于0.15时,晶格常数a、c,晶胞体积及Mn—O键长均随着掺杂浓度的增加而减小。A位稀土原子位移差以及拉曼声子模式的变化表明随着Ho³⁺掺杂比例增加,A位稀土原子相对于平面的偏移减小,MnO₅双锥体倾斜角减小,B位Mn³⁺的三聚作用被削弱,Mn³⁺—O^2-—Mn³⁺间超交换作用减弱,反铁磁(AFM)序被抑制,反铁磁转变温度下降。磁性测量显示低温下Y_0.9Ho_0.1Mn_0.8Fe_0.2O₃的磁化强度显著增强,弱铁磁(WFM)序增加,归因于Ho³⁺加入后系统磁阻挫行为的降低及Ho³⁺—O^2-—Mn³⁺间自旋交换作用产生的铁磁序。这为进一步探索室温多铁性材料提供了思路。     

Recent biopharmaceutical applications of capillary electrophoresis methods on recombinant DNA technology-based products

Biopharmaceuticals (recombinant technology-based products, vaccines, whole blood and blood components, gene therapy, cells, tissues, etc.,) are described as biological medical products produced from various living sources such as human, microbial, animal, and so on by manufacturing, extraction, or semi-synthesis. They are complex molecules having high molecular weights. For their safety and efficacy, their structural, clinical, physicochemical, and chemical features must be carefully controlled, and they must be well characterized by analytical techniques before the approval of the final product. Capillary electrophoresis (CE) having versatile modes can provide valuable safety and efficacy information, such as amino acid sequence, size variants (low and high molecular weight variants), charged variants (acidic and basic impurities), aggregates, N-linked glycosylation, and O-linked glycosylation. There are numerous applications of CE in the literature. In this review, the most significant and recent studies on the analysis of recombinant DNA technology-based products using different CE modes in the last ten years have been overviewed. It was seen that the researches mostly focus on the analysis of mAbs and IgG. In addition, in recent years, researchers have started to prefer CE combined mass spectrometry (MS) techniques to provide a more detailed characterization for protein and peptide fragments.     

Metal supported on dendronized magnetic nanoparticles: highly selective hydroformylation catalysts

A method for homogenizing heterogeneous catalyst is described. The method is based on growing polyaminoamido (PAMAM) dendrons on silica-coated magnetic nanoparticles. After the dendronizing process, the silica-coated magnetic nanoparticles are more stable and more soluble in organic solvents. The dendronized particles are phosphonated, complexed with [Rh(COD)Cl]2, and applied in catalytic hydroformylation reactions. These new catalysts are proven to be highly selective and reactive.     

Portfolio selection under distributional uncertainty: A relative robust CVaR approach

Robust optimization, one of the most popular topics in the field of optimization and control since the late 1990s, deals with an optimization problem involving uncertain parameters. In this paper, we consider the relative robust conditional value-at-risk portfolio selection problem where the underlying probability distribution of portfolio return is only known to belong to a certain set. Our approach not only takes into account the worst-case scenarios of the uncertain distribution, but also pays attention to the best possible decision with respect to each realization of the distribution. We also illustrate how to construct a robust portfolio with multiple experts (priors) by solving a sequence of linear programs or a second-order cone program.     

Magnetic field control of photoinduced silver nanoparticle formation

The micellar photoreduction of benzophenone in the presence of Ag+ leads to very rapid and efficient formation of silver nanoperticles. External magnetic fields can be used to control the rate of formation and properties of silver nanoparticles generated by reaction of ketyl radicals formed in the photoreduction of benzophenone in surfactant micelles. The effect is attributed to Zeeman splitting of the triplet sublevels of the confined radical pair that causes a reduction in the rate of geminate processes and increases the availability of ketyl radicals (through escape processes) for metal ion reduction.