Weighted Triebel-Lizorkin boundedness for rough singular integral (original) (raw)

Abstract

This paper studies the weighted boundedness on Triebel - Lizorkin spaces for the rough singular integral. When kernel Ω(x') ∈ L log+ L(Sn-1), for certain radial weight function w(x), the weighted boundedness of the operator is established. Meanwhile, the authors obtain the Fp α,q(w) weighted boundedness of the above operator with Muckenhopt weight function while Ω ∈ Lr(Sn-1), 1 r ≤ ∞.

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