Abstract
We investigate the $L^p$ boundedness for a class of parametric Marcinkiewicz integral operators associated to submanifolds under the $L(\log L)^{\alpha}({S}^{n-1})$ or Block space condition on the kernel functions. Our results improve the recent results by Al-Qassem and Pan in Studia Mathematica.
Citation
Wenjuan Li. Kôzô Yabuta. "SOME REMARKS ON MARCINKIEWICZ INTEGRALS ALONG SUBMANIFOLDS." Taiwanese J. Math. 16 (5) 1647 - 1679, 2012. https://doi.org/10.11650/twjm/1500406789
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