TY - JOUR
T1 - Some Estimates of Bilinear Hausdorff Operators on Stratified Groups
AU - Zhang , Qi
AU - Zhao , Jiman
JO - Analysis in Theory and Applications
VL - 2
SP - 200
EP - 216
PY - 2020
DA - 2020/06
SN - 36
DO - http://doi.org/10.4208/ata.OA-2019-0034
UR - https://global-sci.org/intro/article_detail/ata/17130.html
KW - Stratified group, Hausdorff operator, bilinear, sharp estimate, weighted Lebesgue space, Morrey space.
AB - <p style="text-align: justify;">In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained.</p>