Year: 2011
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 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 $L^p(\mathbf{R}^n)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0059-x
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 1 : pp. 59–75
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: parabolic singular integral Triebel-Lizorkin space Marcinkiewica integral rough kernel.