Vector-valued singular integral operators on L^p-spaces with mixed norms and applications

Dicesar Lass Fernandez

Vol. 129 (1987), No. 2, 257–275

DOI: 10.2140/pjm.1987.129.257

Abstract

We establish L^P and L^P(l^Q) estimates for singular integral operators with variable operator-valued product kernels. Application to the strong maximal function, double Hilbert transform, Littlewood-Paley inequalities and Fourier multipliers for L^P-spaces with mixed norm are given.

Mathematical Subject Classification 2000

Primary: 42B20

Secondary: 47B38, 47G05

Milestones

Received: 26 December 1985

Published: 1 October 1987