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Der-Chen Chang, Enhui Li, Xinfeng Wu, Singular integrals with non-standard kernels on Triebel-Lizorkin spaces

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DOI: 10.23952/jnva.9.2025.2.04

Volume 9, Issue 2, 1 April 2025, Pages 229-246

 

Abstract. Phong and Stein introduced a class of non-standard singular integral operators with mixed homogeneities. Han, Krantz and Tan studied these non-standard convolution singular integrals and establish the boundedness of these singular integrals on the Hardy spaces. The purpose of this paper is to prove that the non-standard singular integral operators are bounded on Triebel-Lizorkin spaces.

 

How to Cite this Article:
D.C. Chang, E. Li, X. Wu, Singular integrals with non-standard kernels on Triebel-Lizorkin spaces, J. Nonlinear Var. Anal. 9 (2025), 229-246.