About embedding anisotropic classes in metric spaces with integral metric
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 2
Abstract
Let L0 (Tm) be a set of periodic measurable real-valued functions of m variables, ψ : R1+ → R1+ be the continuity modulus and Lψ(Tm) = {f ∈ L0(Tm) : _f_ψ := _ Tm ψ (|f(x)|) dx < ∞}. The sufficient conditions for embedding classes of functions Hω1,...,ωm ψ in Lq(Tm), q ∈ (0; 1] are obtained.
Authors and Affiliations
T. A. Agoshkova, S. A. Pichugov
Keywords
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