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- Peter L. Greenberg, Christina B. Cox, +12 authors Jonathan Bennett
- Blood
- 1997

Despite multiple disparate prognostic risk analysis systems for evaluating clinical outcome for patients with myelodysplastic syndrome (MDS), imprecision persists with such analyses. To attempt toâ€¦ (More)

- Jonathan Bennett
- 2006

We prove d-linear analogues of the classical restriction and Kakeya conjectures in R. Our approach involves obtaining monotonicity formulae pertaining to a certain evolution of families of gaussians,â€¦ (More)

We consider the Brascampâ€“Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finiteness of the constant,â€¦ (More)

We establish a diffeomorphismâ€“invariant generalisation of the classical Loomisâ€“Whitney inequality in R. As a consequence we obtain a sharp trilinear restriction theorem for the Fourier transform inâ€¦ (More)

- Manoj Kumar Mittal, Peter S. Dayan, +7 authors Anupam B Kharbanda
- Academic emergency medicine : official journal ofâ€¦
- 2013

OBJECTIVES
The objectives were to assess the test characteristics of ultrasound (US) in diagnosing appendicitis in children and to evaluate site-related variations based on the frequency of its use.â€¦ (More)

We use the method of induction-on-scales to prove certain diffeo-morphism invariant nonlinear Brascampâ€“Lieb inequalities. We provide applications to the multilinear restriction theory for the Fourierâ€¦ (More)

A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalties of HÃ¶lder, Young, and Loomis-Whitney. The proofâ€¦ (More)

We prove that if u 1 , u 2 : (0, âˆž) Ã— R d â†’ (0, âˆž) are sufficiently well-behaved solutions to certain heat inequalities on R d then the function u : (0, âˆž) Ã— R d â†’ (0, âˆž) given by u 1/p = u 1/p 1 1 *â€¦ (More)

- Jonathan Bennett
- 2004

We establish a sharp trilinear inequality for the extension operator associated to the paraboloid in R3. Our proof relies on a recent generalisation of the classical Loomisâ€“Whitney inequality.

- Jonathan Bennett, Neal Bez, TARYN C. FLOCK, Sanghyuk Lee
- 2016

We prove that the best constant in the general Brascampâ€“Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourierâ€¦ (More)