Orlicz-Sobolev空间的弱中点局部一致凸性

WEAK MID-POINT LOCALLY UNIFORM ROTUNDITY OF ORLICZ-SOBOLEV SPACES

研究Orlicz-Sobolev空间的弱中点局部一致凸性,通过结合Orlicz空间和Sobolev空间的技巧得到分别赋Luxemburg范数和赋Orlicz范数的Orlicz-Sobo-lev空间具有弱中点局部一致凸性的充要条件.

This paper studies criteria of the weak mid - point locally uniform rotundity of Orlicz - Sobolev space for both Luxemburg norm and Orlicz norm by combining the skill of Orlicz Spaces with that of Sobolev spaces.