On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis

Authors:

1 February 1977

journal article
Published by National Academy of Sciences in Proceedings of the National Academy of Sciences

Vol. 74 (2) , 423-425
DOI:10.1073/pnas.74.2.423
PMID:16592385
PMCID:PMC392300

Abstract

The relationship between certain multipliers generalizing the Hilbert transform and maximal operators generalizing the Hardy-Littlewood maximal function is studied and some consequences of this relation are derived.

Keywords

BIOINFORMATICS
FOURIER ANALYSIS
HILBERT TRANSFORM
MAXIMAL FUNCTION
BIOMEDICAL RESEARCH