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A NEW GENERALIZATION OF BOAS THEOREM FOR SOME LORENTZ SPACES Λq(ω)
(Journal article; Tidsskriftartikkel; Peer reviewed, 2018)
Let Λq( ω ), q > 0, denote the Lorentz space equipped with the (quasi) norm
[<i>MATHEMATICAL FORMULA</I>]
for a function f on [0,1] and with
ω
positive and equipped with some additional growth properties. A generalization of Boas theorem in the form of a two-sided inequality is obtained in the case of both general regular system [<i>MATHEMATICAL FORMULA</I>] and generalized Lorentz Λq( ω ) spaces