@Article{ATA-27-59, author = {}, 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 = {

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 $L^p(\mathbf{R}^n)$.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0059-x}, url = {http://global-sci.org/intro/article_detail/ata/4580.html} }