@Article{ATA-27-59,
author = {Y. M. Niu and S. P. Tao},
title = {Boundedness of Parabolic Singular Integrals and Marcinkiewicz Integrals on Triebel-Lizorkin Spaces},
journal = {Analysis in Theory and Applications},
year = {2011},
volume = {27},
number = {1},
pages = {59--75},
abstract = {<p style="text-align: justify;">In this paper, we obtain the boundedness of the parabolic singular integral operator $T$ with kernel in $L(\log L)^{1/ \gamma} (S^{n−1})$ on Triebel-Lizorkin spaces. Moreover, we prove the boundedness of a class of Marcinkiewicz integrals $\mu_{\Omega,q}(f)$ from $\|f\|_{\dot{F}_{p}^{0,q}(\mathbf{R}^n)}$ into $L^p(\mathbf{R}^n)$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.1007/s10496-011-0059-x},
url = {http://global-sci.org/intro/article_detail/ata/4580.html}
}