منابع مشابه
Parametric curves with Pythagorean binormal
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Let 1 < q < p < ∞ and q ≤ r ≤ p. Let X be a reflexive Banach space satisfying a lower-lq-tree estimate and let T be a bounded linear operator from X which satisfies an upper-lp-tree estimate. Then T factors through a subspace of ( ∑ Fn)lr , where (Fn) is a sequence of finite-dimensional spaces. In particular, T factors through a subspace of a reflexive space with an (lp, lq) FDD. Similarly, let...
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In these pages we shall present some recent work done in collaboration with S. Gutiérrez on the selfsimilar solutions of the binormal flow Xt = Xs ∧Xss (1) Here X(s, t) ∈ R, s ∈ R, t ∈ R and s represents the arclength parameter |Ẋ(s, t)| = 1. Differentiation in (1) gives Xst = Xs ∧Xsss and as long as X is regular enough we get d ds |Xs| = Xs(Xs)t = Xs · (Xs ∧Xsss) = 0. This flow was found for t...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1994
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1084