考虑抛物型BMO函数和沿抛物线的Hilbert变换生成的多线性交换子,通过Fourier变换估计和bootstrap讨论,得到所考虑的多线性交换子的有界性。
Considers the multilinear commutators of parabolic BMO function and Hilbert transforms along parabola . With Fourier transform estimation and the bootstrap method, proves that the multilinear commutators are bounded on spaces.
聂 芬.沿抛物线的Hilbert变换的多线性交换子的有界性[J].湖南工业大学学报,2010,24(1):1-4.