On restriction theorems of maximal-type

Christopher Donald Sogge

Vol. 123 (1986), No. 2, 441–446

DOI: 10.2140/pjm.1986.123.441

Abstract

In this paper we prove a vector-valued restriction theorem for the Fourier transform. This result allows us to establish certain sharp “maximal-type” restriction theorems and a partial generalization of the Riemann-Lebesgue lemma for certain p > 1.

Mathematical Subject Classification 2000

Primary: 42B10

Milestones

Received: 25 February 1985

Published: 1 June 1986