학술논문
赋Luxemburg范数的广义Orlicz函数空间各向一致凸性质 / Uniformly rotund in every direction in generalized Orlicz function spaces with Luxemburg norm
Document Type
Academic Journal
Author
Source
兰州大学学报（自然科学版） / Journal of Lanzhou University (Natural Sciences). (1):119-123
Subject
Language
Chinese
ISSN
0455-2059
Abstract
借鉴经典Orlicz空间中各向一致凸的证明方法并发展了广义情形下的新方法，给出了赋Luxemburg范数的广义Orlicz函数空间L(Φ)在无原子Lebesgue测度下是各向一致凸的充分必要条件。
Combining the methods of uniformly rotund in every direction used in classical Orlicz spaces with the new methods introduced especially for generalized ones, we gave the su?cient and essential conditions for L(Φ) that is uniformly rotund in every direction in generalized Orlicz functional spaces with the Luxemburg norm and the Lebesgue measure.
Combining the methods of uniformly rotund in every direction used in classical Orlicz spaces with the new methods introduced especially for generalized ones, we gave the su?cient and essential conditions for L(Φ) that is uniformly rotund in every direction in generalized Orlicz functional spaces with the Luxemburg norm and the Lebesgue measure.