醇类液体的热压力系数及内压

本文测定25-85℃温度范围内正戊醇.正已醇.正庚醇和正辛醇的热压力系数,发现这些醇类液体的内压几乎不随温度而变,本文还将修正的vander waals 模型推广到了醇类液体,与非缔合液体一样,它们的排斥体积亦与密度呈线性关系.但是,模型参数之比B/A^2不再是个常数,而是随醇分子中碳原子数的增多而快速地减小, 这个比值可作为合能力的一种量度.     

L^P BOUNDS FOR SINGULAR INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ON PRODUCT DOMAINS

In this paper, the authors establish Lp boundedness for several classes of multiple singular integrals along surfaces of revolution with kernels satisfying rather weak size condition. The results of the corresponding maximal truncated singular integrals are also obtained. The main results essentially improve and extend some known results.     

L P boundedness of area function associated with operators on product spaces

Let L be the infinitesimal generator of an analytic semigroup on L2 (Rn) with suitable upper bounds on its heat kernels. Assume that L has a bounded holomorphic functional calculus on L2(Rn). In this paper,we define the Littlewood- Paley g function associated with L on Rn × Rn, denoted by GL(f)(x1, x2), and decomposition, we prove that ‖SL(f)‖p ≈‖GL(f)‖p ≈‖f‖p for 1 ＜ p ＜∞.     

Localization operators associated with the spherical mean operator

In this paper, we define the localization operator associated with the spherical mean operator, and show that the localization operator is not only bounded, but also in Schatten-Von Neumann class. We also give a trace formula when the symbol function is a nonnegative function.