Vector singular integral operators on a local field

Sergio A. Tozoni

Vol. 144 (1990), No. 1, 161–180

DOI: 10.2140/pjm.1990.144.161

Abstract

A theory of vector singular integral operators in the context of the local fields, is established. Applications to maximal functions, a diagonal multiplier theorem of Mihlin-Hörmander type and applications to Besov and Hardy-Sobolev spaces are given.

Mathematical Subject Classification 2000

Primary: 43A75

Secondary: 42B20, 46S10, 47G10, 47S10

Milestones

Received: 4 April 1988

Revised: 9 May 1989

Published: 1 July 1990