University of Qom Measure Algebras and Applications 3116-014X 2 1 2024 08 20 Is the space of Holder functions predual of L^1? آیا فضای توابع هلدر پیش‌دوگان ‎L^1‎ است؟ 85 91 2970 10.22091/maa.2024.10469.1015 EN Azin Golbaharan Kharazmi University, Tehran, Iran 0000-0002-0484-162X Journal Article 2024 03 01 Let (X,d) be a compact pointed metric space. In this paper, we investigate the condition on the underlying metric space (X,d) which implies that the little Lipschitz space on (X,d) is predual of L^1(\mu). Then, we conclude that the space of Holder functions on every compact pointed space, and for each 0<alpha<1 is not predual of L^1(\mu). https://maa.qom.ac.ir/article_2970_2d301d3d4208b30933677a25030d0c3b.pdf