H(φ) Spaces
Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 295-301
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Let ψ be a non-decreasing continuous subadditive function defined on [0, ∞) and satisfy ψ(x) = 0 if and only if x = 0. The space H(ψ) is defined as the set of analytic functions in the unit disk which satisfy and the space H+ (ψ) is the space of a f ∊ H(ψ) for which where almost everywhere.In this paper we study the H(ψ) spaces and characterize the continuous linear functionals on H+ (ψ).
Deeb, W.; Marzuq, M. H(φ) Spaces. Canadian mathematical bulletin, Tome 29 (1986) no. 3, pp. 295-301. doi: 10.4153/CMB-1986-045-0
@article{10_4153_CMB_1986_045_0,
author = {Deeb, W. and Marzuq, M.},
title = {H(\ensuremath{\varphi}) {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {295--301},
year = {1986},
volume = {29},
number = {3},
doi = {10.4153/CMB-1986-045-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-045-0/}
}
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