Czasopismo
2008
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Vol. 56, no 2
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109-120
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Let (X, Y) be a duality pair of M-spaces X, Y of measurable functions from Ω ⊂ R[sup]n into R[sup]d. The paper deals with Y-weak cluster points φ of the sequence φ(•, z[sub]j(•)) in X, where z[sub]j: Ω→ R[sup]m is measurable for j ∈ N and φ: Ω x R[sup]m → R[sup]d is a Carathéodory function. We obtain general sufficient conditions, under which, for some negligible set Aφ, the integral I(φ,νx) := ∫R φ(x,λ) dνx(λ) exists for χ ∈ Ω \ Aφ and φ(x) = I(φ, νx) on Ω \ Aφ, where ν = {νx}x∈Ω is a measurable-dependent family of Radon probability measures on R[sup]m.
Rocznik
Tom
Strony
109-120
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
autor
- Institute of Mathematics, Szczecin University, Wielkopolska 15, 70-451 Szczecin, Poland, nguyenhthaimathuspl@yahoo.com
Bibliografia
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- [15] -, Non-Solid Ideal Spaces of Vector Functions: Geometry, Interpolation and Applications to Nonlinear Operators and Equations, Habilitation dissertation, Belarus State Univ., Minsk, 1991, 341 pp.
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Typ dokumentu
Bibliografia
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