Orlicz-Sobolev空间单调性及其在最佳逼近中的应用

Monotonicity and Best Approximation in Orlicz-Sobolev Spaces

改进了Hudzik,Kurc关于最佳逼近中的结果,给出了赋Orlicz范数的Orlicz- Sobolev空间具有一致单调性、局部一致单调性和严格单调性的充要条件、单调系数的数值,以及在最佳逼近中的应用.

Necessary and sufficient conditions for uniform monotonicity, upper （lower） locally uniform monotonicity and strict monotonicity of Orlicz-Sobolev spaces with Orlicz norm are given. The monotone coefficients of the spaces are computed. Some applications to the best approximation are presented, which improve the results in [2-3].