Is the space of Holder functions predual of L^1?

Golbaharan, Azin

doi:10.22091/maa.2024.10469.1015

Is the space of Holder functions predual of L^1?

Document Type : Original Article

Author

Azin Golbaharan

Kharazmi University, Tehran, Iran

10.22091/maa.2024.10469.1015

Abstract

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).

Keywords