In [37] this conjecture is proved for some cases where it is further assumed that G ( f ) is rectifiable.
(12) Since γ is rectifiable, then it is (1+epsilon -summable for any (epsilon>0).
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).
While this situation may have been rectifiable in benign economic conditions, the global financial crisis that exploded in 2008 meant that Cobra had to put itself up for sale in November of that year.
Taiwan can do little to influence international opposition to its membership of the TPP, but domestic divided opinion can be reconciled, so this paper will focus on issues that are rectifiable.
This led to a logistical nightmare and horrendous spectator experience, the former at least being rectifiable.
