The method of rotation and Marcinkiewicz integrals on product domains

@article{JiechengChen2002,
abstract = {We give some rather weak sufficient condition for $L^\{p\}$ boundedness of the Marcinkiewicz integral operator $μ_\{Ω\}$ on the product spaces $ℝⁿ × ℝ^\{m\}$ (1 < p < ∞), which improves and extends some known results.},
author = {Jiecheng Chen, Dashan Fan, Yiming Ying},
journal = {Studia Mathematica},
keywords = {Marcinkiewicz integral; rough kernel; product space; rotation method},
language = {eng},
number = {1},
pages = {41-58},
title = {The method of rotation and Marcinkiewicz integrals on product domains},
url = {http://eudml.org/doc/284751},
volume = {153},
year = {2002},
}

TY - JOUR
AU - Jiecheng Chen
AU - Dashan Fan
AU - Yiming Ying
TI - The method of rotation and Marcinkiewicz integrals on product domains
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 1
SP - 41
EP - 58
AB - We give some rather weak sufficient condition for $L^{p}$ boundedness of the Marcinkiewicz integral operator $μ_{Ω}$ on the product spaces $ℝⁿ × ℝ^{m}$ (1 < p < ∞), which improves and extends some known results.
LA - eng
KW - Marcinkiewicz integral; rough kernel; product space; rotation method
UR - http://eudml.org/doc/284751
ER -