@Article{ATA-32-38,
author = {T. Kawazoe},
title = {$H^1$-Estimates of the Littlewood-Paley and Lusin Functions for Jacobi Analysis II},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {1},
pages = {38--51},
abstract = {<p style="text-align: justify;">Let $({\Bbb R}_+,*,\Delta)$ be the Jacobi hypergroup. We introduce analogues of the Littlewood-Paley $g$ function and the Lusin area function for the Jacobi hypergroup and consider their $(H^1, L^1)$ boundedness. Although the $g$ operator for $({\Bbb R}_+,*,\Delta)$ possesses better property than the classical $g$ operator, the Lusin area operator has an obstacle arisen from a second convolution. Hence, in order to obtain the $(H^1, L^1)$ estimate for the Lusin area operator, a slight modification in its form is required.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2016.v32.n1.4},
url = {http://global-sci.org/intro/article_detail/ata/4653.html}
}