UNIFORM CONVERGENCE OF CESARO MEANS OF NEGATIVE ORDER OF DOUBLE TRIGONOMETRIC FOURIER SERIES

In this paper we prove that iff ∈ C([-π,π]2) and the function f is bounded partial p-variation for some p ∈ [1, ∞), then the double trigonometric Fourier series of a function f is uniformly (C;-α,-β) summable (α β＜ 1/p,α,β＞ 0) in the sense of Pringsheim. If α β≥ 1/p, then there exists a continuous function f0 of bounded partial double trigonometric Fourier series of fo diverge over cubes.     

Boundedness of higher order commutators of generalized fractional integral operators on Hardy spaces

Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces.     

The mixed problem for degenerate elliptic equations of second order

The present paper deals with the mixed boundary value problem for elliptic equations with degenerate rank 0. We first give the formulation of the problem and estimates of solutions of the problem, and then prove the existence of solutions of the above problem for elliptic equations by the above estimates and the method of parameter extension. We use the complex method, namely first discuss the corresponding problem for degenerate elliptic complex equations of first order, afterwards discuss the above problem for degenerate elliptic equations of second order.     

气液色谱法研究二元混合固定液的无限稀活度系数

用气液色谱法测定若干烃类溶质在二元混合固定液中的无限稀活度系数,所研究的二元混合液为具有不同极性的四种类型:(1)正廿二烷-正十六烷;(2)邻苯二甲酸二壬酯-角鲨烷;(3)环丁砜-碳酸丙烯酯;(4)环丁砜-己二腈。用最小二乘法拟合三元系的Flory-Huggins公式,得到各种相互作用参数。     

顺,顺,顺-3,6,9-二十碳三烯及顺,顺,顺-3,6-9-二十一碳三烯的合成

由于昆虫信息素研究的需要,我们曾于1979年合成了顺、顺、顺-3,6,9-二十碳三烯(1)和顺、顺、顺-3,6,9-二十一碳三烯(2),最近Conner等报道,1和2为鳞翅目昆虫信息素组分,并发表了以亚麻油酸及亚麻油醇为原料的合成路线。本文报道我们的合成路线,以丙炔醇为原料,经2-戊炔醇-[1](3),1-溴-2-戊炔     

Possible Wormhole Solutions in (4 + 1) Gravity

We extend previous analyses of soliton solutionsin (4 + 1) gravity to new ranges of their definingparameters. The geometry, as studied using invariants,has the topology of wormholes found in (3 + 1) gravity. In the induced-matter picture, thefluid does not satisfy the strong energy conditions, butits gravitational mass is positive. We infer thepossible existence of (4 + 1) which, compared to their (3 + 1) counterparts, are lessexotic.     

Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields

We consider anisotropic cosmological models with a universe of dimension 4 or higher, factorized into n 2 Ricci-flat spaces, containing an m-component perfect fluid of m non-interacting homogeneous minimally coupled scalar fields under special conditions. We describe the dynamics of the universe: It has a Kasner-like behaviour near the singularity and isotropizes during the expansion to infinity. Some of the models considered are integrable, and classical as well as quantum solutions are found. Some solutions produce inflation from nothing. There exist classical asymptotically anti-de Sitter wormholes, and quantum wormholes with discrete spectrum.     

P538萃取Co(II)的平衡研究

研究了P538-煤油于25±0.5℃时从硫酸钠介质中萃取Co(II)的平衡,并提出萃取机理.     

非离子型微乳液的热力学性质Ⅲ:盐类和PH值的影响

以非离子型表面活性剂(Triton X-100)、十六烷、正已醇和水所组成的微乳液,研究醇从油相向界面层转移时的体系Gibbs函数变化,并从热力学关系式得出焓和熵的变化关系.本文研究了相中不同盐类和PH值对这些热力学函数的影响,发现这些热力学函数与盐类中阳离子价数和PH值都呈线性关系.     

热动力学的研究 XV.分数级反主尖的热动力学法

根据热动力学基础理论和n级反应通用的势动力学方程,本文建立了各种分数级反应的热动力学研究法.应用M-340计算机编制了研究法基本公式中有关无量纲参数的各种函数表,并深入讨论了有关函数的基本性质及其图象.同时将本文建立的分数级反应研究法应用于整数级反应的热动力学研究,所得结果与文献报道的一、二级反应的无量纲参数法基本公式完全相同,该研究法还可用于判断化学反应的级数.