• Journal of the Korean Mathematical Society
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• v.43 no.2
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• pp.283-296
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• 2006

In this paper we weaken the kernel conditions of bilinear Calderon-Zygmund operators and prove boundedness on Besov spaces.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.547-566
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• 2022

Let T be a bilinear Calderón-Zygmund operator, $b{\in}U_q>_1L^q_{loc}(G)$. We firstly obtain a constructive proof of the weak factorisation of Hardy spaces. Then we establish the characterization of BMO spaces by the boundedness of the commutator [b, T]_j in variable Lebesgue spaces.