Endpoint bounds of square functions associated with Hankel multipliers

Jongchon Kim. "Endpoint bounds of square functions associated with Hankel multipliers." Studia Mathematica 228.2 (2015): 123-151. <http://eudml.org/doc/285642>.

@article{JongchonKim2015,
abstract = {We prove endpoint bounds for the square function associated with radial Fourier multipliers acting on $L^\{p\}$ radial functions. This is a consequence of endpoint bounds for a corresponding square function for Hankel multipliers. We obtain a sharp Marcinkiewicz-type multiplier theorem for multivariate Hankel multipliers and $L^\{p\}$ bounds of maximal operators generated by Hankel multipliers as corollaries. The proof is built on techniques developed by Garrigós and Seeger for characterizations of Hankel multipliers.},
author = {Jongchon Kim},
journal = {Studia Mathematica},
keywords = {Hankel multipliers; square functions},
language = {eng},
number = {2},
pages = {123-151},
title = {Endpoint bounds of square functions associated with Hankel multipliers},
url = {http://eudml.org/doc/285642},
volume = {228},
year = {2015},
}

TY - JOUR
AU - Jongchon Kim
TI - Endpoint bounds of square functions associated with Hankel multipliers
JO - Studia Mathematica
PY - 2015
VL - 228
IS - 2
SP - 123
EP - 151
AB - We prove endpoint bounds for the square function associated with radial Fourier multipliers acting on $L^{p}$ radial functions. This is a consequence of endpoint bounds for a corresponding square function for Hankel multipliers. We obtain a sharp Marcinkiewicz-type multiplier theorem for multivariate Hankel multipliers and $L^{p}$ bounds of maximal operators generated by Hankel multipliers as corollaries. The proof is built on techniques developed by Garrigós and Seeger for characterizations of Hankel multipliers.
LA - eng
KW - Hankel multipliers; square functions
UR - http://eudml.org/doc/285642
ER -