Variational inequalities for the commutator of some singular integral with rough kernel

• Published in: Journal of the Korean Mathematical Society pp. 1003 - 1036
• Main Authors: Yanping Chen, Liu Yang
• Format: Journal Article
• Language: English
• Published: 대한수학회 01.07.2025
• Subjects: 수학

In this paper, we consider variational inequalities for the commutator of the truncated singular integral operator $T_{\Omega,\beta,\varepsilon}$ with rough kernel \begin{align*} [b, T_{\Omega,\beta,\varepsilon}] f(x)= \int_{|x-y|>\varepsilon} \frac{\Omega(x-y)}{|x-y|^{n-\beta}}(b(x)-b(y)) f(y) d...