内插空间中不等式系数的估值问题

Ｋ－方法和Ｊ－方法是内插空间中两个重要的方法，由此给出的内插函好及其建立的某些定理与内插空间的基本引理是内插空间等价性定理证明的基础。它们在逼近论中有着广泛的应用。然而这些结论所给出的不等式中某些系数的确切值至今仍是待定的，关于这个问题近几个有些研究的结果。本文就上述问题给出综合阐述。

Coefficient Estimate Problem of Inequality in the Interpolation Spaces

K method and J method are two important methods of interpolation spaces. Interpolation functors and some theorem given by using these methods, and the fundamental lemma of interpolation theory are the bases to prove the equivalence theorem of interpolation spaces. They also have extensives uses in the approximation theory. However some exact values of inequality coefficient in these results are still left to be further determined. In recent years, a lot of work has been done on the research of these problems and some results obtained. The article presented here will give a comprehensive account of these problems mentioned above.