Frontiers of Mathematics in China >
Convergence of truncated rough singular integrals supported by subvarieties on Triebel-Lizorkin spaces
Received date: 21 Mar 2018
Accepted date: 08 Apr 2019
Published date: 15 Jun 2019
Copyright
Let be a function of homogeneous of degree zero and satisfy the cancellation condition on the unit sphere. Suppose that h is a radial function. Let be the classical singular Radon transform, and let be its truncated operator with rough kernels associated to polynomial mapping which is defined by . In this paper, we show that for any and satisfying certain index condition, the operator enjoys the following convergence properties and provided that for some or , or .
Feng LIU , Qingying XUE , K^oz^o YABUTA . Convergence of truncated rough singular integrals supported by subvarieties on Triebel-Lizorkin spaces[J]. Frontiers of Mathematics in China, 2019 , 14(3) : 591 -604 . DOI: 10.1007/s11464-019-0765-9
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