Some characterizations of Campanato spaces via commutators on Morrey spaces

Shaoguang Shi and Shanzhen Lu

Vol. 264 (2013), No. 1, 221–234

DOI: 10.2140/pjm.2013.264.221

Abstract

We give some creative characterizations of Campanato spaces via the boundedness of commutators associated with the Calderón–Zygmund singular integral operator by some new methods instead of the sharp maximal function theorem.

Keywords

Calderón–Zygmund singular integral, commutator, Morrey space, weight

Mathematical Subject Classification 2010

Primary: 42B20

Secondary: 42B25

Milestones

Received: 5 May 2012

Revised: 19 December 2012

Accepted: 22 February 2013

Published: 5 July 2013