Littlewood-Paley g-functions with rough kernels on homogeneous groups
Studia Mathematica (2009)
- Volume: 195, Issue: 1, page 51-86
- ISSN: 0039-3223
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topYong Ding, and Xinfeng Wu. "Littlewood-Paley g-functions with rough kernels on homogeneous groups." Studia Mathematica 195.1 (2009): 51-86. <http://eudml.org/doc/286452>.
@article{YongDing2009,
abstract = {Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾},
author = {Yong Ding, Xinfeng Wu},
journal = {Studia Mathematica},
keywords = {Littlewood-Paley function; rough kernel; homogeneous group; method},
language = {eng},
number = {1},
pages = {51-86},
title = {Littlewood-Paley g-functions with rough kernels on homogeneous groups},
url = {http://eudml.org/doc/286452},
volume = {195},
year = {2009},
}
TY - JOUR
AU - Yong Ding
AU - Xinfeng Wu
TI - Littlewood-Paley g-functions with rough kernels on homogeneous groups
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 1
SP - 51
EP - 86
AB - Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾
LA - eng
KW - Littlewood-Paley function; rough kernel; homogeneous group; method
UR - http://eudml.org/doc/286452
ER -
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