It was an encouraging performance, and Jim Conway, who trains Chateaugay, deserves full marks for bringing him back to the races in such sharp condition after all the ankle trouble that plagued him.
Maintain your knives in good, sharp condition.
In particular, we give a sharp condition for the discreteness of the spectrum of H beyond which we find dense pure point spectrum.
In the third section, we state the sharp condition for the global existence and nonexistence of problem (1.1).
"It's always frustrating - as players we'd like to play every tournament in the sharpest condition - but the reality is that, if you're going to peak for a big competition like the Olympics, you need to put the work in".
In this paper, sharp conditions are derived for all the solutions being oscillating for a class of linear second-order delayed-discrete equations.
In particular, we provide sharp conditions under which the natural, and optimal, Calderón Zygmund type result(|F|p+a(x)|F|q)∈Lγloc⟹ |Du|p+a(x)|Du|q)∈Lγloc holds for every γ≥1.
In particular, we give sharp conditions on the measure ensuring that the associated Toeplitz operator maps the Bergman space Ap D) into Ar(D) with r>p, generalizing and making more precise results by Čučković and McNeal.
In [7] the authors provide sharp conditions on the triple (Omega, rho ) and C for the validity of (2).
In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces Bp,q and Wiener amalgam spaces Wsp,q.
