# Interpolation properties of scales of Banach spaces

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Let Î© âŠ‚ Rn be a domain. The result of J. Kauhanen, P. Koskela and J. MalÃ½ [4] states that a function Æ’ : Î© â†’ R with a derivative in the Lorentz space Ln,Â¹ (Î©, Rn) is n-absolntely continuous in the sense of [5]. We give an example of an absolutely continuous...

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We give a complete classification of surfaces with parallel second fundamental form in Lorentzian real space forms of dimension three and four.

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Let C[0, T] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0, T], and define a stochastic process Z : C[0,T]x[0,T] â†’ â„ by Z(x,t) = âˆ«0t h(u)dx(u) + x(0)+a(t), for x âˆˆ [0,T] and t âˆˆ [0, T], where h âˆˆ L2[0,T] with...