中文

关于$A_1$-正则格的偶对(X, BMO)的复插值

泛函分析 2013-03-27 v1

摘要

应用A. Lerner关于Fefferman-Stein极大函数的某些性质的结果,我们证明对于Rn\mathbb R^n上可测函数的Banach格XX,满足Fatou性质、XX具有序连续范数且Hardy-Littlewood极大算子MM(Xα)(X^\alpha)'中对某个0<α10 < \alpha \leqslant 1有界,则有(\BMO,X)θ=Xθ(\BMO, X)_\theta = X^\theta0<θ<10 < \theta < 1

关键词

引用

@article{arxiv.1303.6347,
  title  = {Complex interpolation of couple (X, BMO) for $A_1$-regular lattices},
  author = {Dmitry Rutsky},
  journal= {arXiv preprint arXiv:1303.6347},
  year   = {2013}
}