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(12) Since γ is rectifiable, then it is (1+epsilon -summable for any (epsilon>0).
In [37] this conjecture is proved for some cases where it is further assumed that G ( f ) is rectifiable.
Recall that since f is univalent and ∂ Ω is a Jordan curve, ∂ Ω is rectifiable if and only if f′ ϵ H1 (see [19], Theorem 6.8).
Note that the curve h δ ( S 0, γ ) Open image in new window is rectifiable if and only if δ > 1.
In the case of p -sectorial curves, the angle α z) is bounded, so the curve C Open image in new window is rectifiable.
When L is rectifiable, let L p ( L ), p > 0, denote the class of functions f which are integrable on L and satisfy the condition ∥ f ∥ L p ( L ) : = ( ∫ L | f ( z ) | p | d z | ) 1 / p < ∞.
If the curve C Open image in new window is rectifiable and f ′ ∈ E p ( D, w ) Open image in new window then also f ∈ E p ( D, w ) Open image in new window.
In the case when L is rectifiable, a similar estimate of (1.2) type in space L p ( L ) was obtained in [2] as follows: ∥ P n ∥ L p ( L R ) ≤ R n + 1 p ∥ P n ∥ L p ( L ), p > 0. (1.3).
It may well be rectifiable and in October 2017 everyone on benefit in and out of work will be on universal credit, as Duncan Smith had always planned and insists will still happen.
A path is said to be rectifiable if its length is finite.
This led to a logistical nightmare and horrendous spectator experience, the former at least being rectifiable.
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