Abstract
1. Introduction
A recent result by the author [39] establishes a pointwise control of
an arbitrary measurable function in terms of its local mean oscillations.
Soon after that, in a surprising work [12], D. Cruz-Uribe, J. Martell and
C. P´erez showed that this result can be effectively applied in a variety
of questions, including sharp weighted inequalities for classical singular
integrals and the dyadic square function. In turn, based on [12] and
on a recent concept of the intrinsic square function by M. Wilson [54],
the author [40] obtained sharp weighted estimates for essentially any
Littlewood-Paley operator.
The aim of these notes is to present a unified, extended and almost
self-contained exposition of the above-mentioned works [39, 12, 40].
| Original language | American English |
|---|---|
| Title of host publication | Function spaces, Approximation, Inequalities and Lineability, Lectures of the Spring School in Analysis, Matfyzpress, Prague (2011), . |
| Place of Publication | Prague |
| Publisher | MATFYZPRESS |
| Pages | 71-106 |
| Number of pages | 36 |
| ISBN (Electronic) | 978-80-7378-169-9 |
| State | Published - 2011 |
Bibliographical note
Function spaces,Approximation, Inequalities and Lineability, Lectures of the Spring School in Analysis,
Matfyzpress, Prague