论文信息 - Boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces - 字舞流文

Boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces

In this paper, we prove the Triebel-Lizorkin boundedness for the Marcinkiewicz integral with rough kernel. The method we apply here enables us to consider more general operators.

Chun-jie Zhang | Jie-cheng Chen

[1] J. Duoandikoetxea,et al. Maximal and singular integral operators via Fourier transform estimates , 1986 .

[2] Jiecheng Chen,et al. Boundedness of rough singular integral operators on the Triebel–Lizorkin spaces , 2008 .

[3] Jiecheng Chen,et al. BOUNDEDNESS OF g-FUNCTIONS ON TRIEBEL-LIZORKIN SPACES , 2009 .

[4] H. Triebel. Theory of Function Spaces III , 2008 .

[5] Alberto Torchinsky,et al. A note on the Marcinkiewicz integral , 1990 .

[6] D. Fan,et al. Lp-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels , 2000 .

[7] Yong Ding,et al. Rough singular integrals on Triebel-Lizorkin space and Besov space , 2008 .

[8] S. Korry. A class of bounded operators on Sobolev spaces , 2004 .

[9] A note on the Marcinkiewicz integral operators on Fpα,q* , 2007 .

[10] Jiecheng Chen,et al. Boundedness of rough oscillatory singular integral on Triebel-Lizorkin spaces , 2005 .