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

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Golbaharan Azin

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Journal Paper

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Journal: MEASURE ALGEBRAS AND APPLICATIONS Year:2024 | Volume:2 | Issue:1 Page(s): 85-91

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Information Journal Paper

Title

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

Author(s)

Golbaharan Azin | Issue Writer Certificate

Keywords

Lipschitz function

Little Lipschitz space

Holder function space

L^1(\mu)

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

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