Isometric multiplication of Hardy-Orlicz spaces

Author:

Deeb W.,Khalil R.,Marzuq M.

Abstract

For a modulus function φ, we define the Hardy-Orlicz space H (φ). Two main questions are discussed in this paper. First, when is a linear map mg: H (φ) → H (φ), mg (f) = g.f an isometry? Second, when is H (φ) = H1?

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. On linear functionals in Hardy-Orlicz spaces, I

2. [1] Diestel J. and Uhl J. R. , Vector measures. (Math. Surveys, 15, 1977).

3. [2] Deeb W. and Marzuq M. , “H (φ) spaces,” Bull. Canad. Math. Soc. (To appear).

4. Multiplication isometries of Hardy and double Hardy spaces;Hasumi;Hokkaido Math. J.,1981

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