The method of rotation and Marcinkiewicz integrals on product domains

Jiecheng Chen, Dashan Fan, and Yiming Ying. "The method of rotation and Marcinkiewicz integrals on product domains." Studia Mathematica 153.1 (2002): 41-58. <http://eudml.org/doc/284751>.

@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 -