Some new light on a few classical results

Ciprian Demeter, and Prabath Silva. "Some new light on a few classical results." Colloquium Mathematicae 140.1 (2015): 129-147. <http://eudml.org/doc/284285>.

@article{CiprianDemeter2015,
abstract = {The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Córdoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, which does not rely on product theory. Our arguments are inspired by the vector-valued restricted type interpolation used by Bateman and Thiele (2013).},
author = {Ciprian Demeter, Prabath Silva},
journal = {Colloquium Mathematicae},
keywords = {vector-valued inequalities; dyadic maximal function; vector-valued Carleson operator; bi-parameter multiplier operators; product theory},
language = {eng},
number = {1},
pages = {129-147},
title = {Some new light on a few classical results},
url = {http://eudml.org/doc/284285},
volume = {140},
year = {2015},
}

TY - JOUR
AU - Ciprian Demeter
AU - Prabath Silva
TI - Some new light on a few classical results
JO - Colloquium Mathematicae
PY - 2015
VL - 140
IS - 1
SP - 129
EP - 147
AB - The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Córdoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, which does not rely on product theory. Our arguments are inspired by the vector-valued restricted type interpolation used by Bateman and Thiele (2013).
LA - eng
KW - vector-valued inequalities; dyadic maximal function; vector-valued Carleson operator; bi-parameter multiplier operators; product theory
UR - http://eudml.org/doc/284285
ER -