Singular integral operators on Triebel–Lizorkin spaces of para-accretive type

In this article, we study the boundedness of singular integral operators acting on Triebel–Lizorkin spaces of para-accretive type and show a Tb theorem on these spaces, which extends previous results in David, Journé and Semmes (1985) [3], Han (1994) [9], Han, Lee and Lin (2004) [10], Han and Sawyer (1990) [12], Lin and Wang (2009) [15], Wang (1999) [22].