Samuel L. Sharp

Samuel Dales

Subsequent to the demons t ra t ion tha t the major h i s tocompa t ib i l i t y molecu la r complex (MHC) 1 is a necessary de t e rminan t in i m m u n e specific ki l l ing by cytotoxic lymphocytes (CTL) in virus-infected target cells (1), e luc ida t ion of the p h e n o m e n o n of M H C restr ict ion has been sought th rough several different exper imen ta l approaches. O n the basis of d...

ENDOCYTOSIS Samuel

PERSPECTIVES AND SUMMARY .......................................................................... 670 INTRODUCTION ........................................................................................................ 673 Types ofEndocytosis ............................................................................................ 673 Morphology of Endocytic Vacuoles ........................

Sonia Samuel

Sharp L Improving Results for Singular Measures on C

For j = 1, ..., n, letΩj be open sets of the complex plane and let φj be holomorphic functions on Ωj such that φ′′ j does not vanish identically on Ωj . We consider φ (z1, ..., zn) = φ1 (z1) + ...+ φn (zn). We characterize the pairs (p, q) such that the convolution operator with the surface measure supported on a compact subset of the graph of φ is p− q bounded.

Sharp L Bounds on Spectral Clusters for Holder Metrics

We establish Lq bounds on eigenfunctions, and more generally on spectrally localized functions (spectral clusters), associated to a self-adjoint elliptic operator on a compact manifold, under the assumption that the coefficients of the operator are of regularity Cs, where 0 ≤ s ≤ 1. We also produce examples which show that these bounds are best possible for the case q =∞, and for 2 ≤ q ≤ qn.