Special John-Nirenberg-Campanato spaces via congruent cubes

Let p ∈ [1, ∞), q ∈ [1, ∞), α∈ R, and s be a non-negative integer. Inspired by the space JNp introduced by John and Nirenberg(1961) and the space B introduced by Bourgain et al.(2015), we introduce a special John-Nirenberg-Campanato space JN^con_(p,q,s) over Rⁿ or a given cube of R;with finite side length via congruent subcubes, which are of some amalgam features. The limit space of such spaces as p →∞ is just the Campanato space which coincides with the space BMO(the space of functions with bounded mean oscillations)when α = 0. Moreover, a vanishing subspace of this new space is introduced, and its equivalent characterization is established as well, which is a counterpart of the known characterization for the classical space VMO(the space of functions with vanishing mean oscillations) over Rⁿ or a given cube of Rⁿ with finite side length.Furthermore, some VMO-H¹-BMO-type results for this new space are also obtained, which are based on the aforementioned vanishing subspaces and the Hardy-type space defined via congruent cubes in this article. The geometrical properties of both the Euclidean space via its dyadic system and congruent cubes play a key role in the proofs of all these results.     

Quantum Watermark Algorithm Based on Maximum Pixel Difference and Tent Map

International Journal of Theoretical Physics - A new quantum watermark algorithm is presented by combining maximum pixel difference partitioning with the least significant bit substitution...     

A posteriori error estimation for a singularly perturbed Volterra integro-differential equation

Numerical Algorithms - A singularly perturbed Volterra integro-differential equation with an integrable singularity in the integral term is considered. The upwind difference method is used to...     

ICP-MS法测定黔产枳椇果梗、枳椇子中22种金属元素

建立微波消解-电感耦合等离子体质谱(ICP-MS)法同时分析枳椇果梗、枳椇子中Be、Mg、Al、Ti、V、Cr、Mn、Fe、Co、Ni、Cu、Zn、As、Sr、Mo、Ag、Cd、Sn、Sb、Ba、Tl、Pb等22种元素的含量。样品经微波消解后,利用ICP-MS测定上述22种元素,通过标准曲线计算其含量。实验结果表明,22种元素在其线性范围内线性关系良好,r值0.995;检出限为0.0007～1.0713μg/L;重复性的相对标准偏差(RSD)3%;精密度的相对标准偏差(RSD)7%;回收率为81.14%～112.91%。该方法灵敏度高,重复性好,分析速度快,适用于枳椇果梗、枳椇子中22种元素的含量测定。