管理员登录 / English
Weighted estimates for rough singular integrals and Marcinkiewicz integrals with applications to angular integrability
发布时间: 2018-12-03     13:32   【返回上一页】 发布人:刘风


报告题目:Weighted estimates for rough singular integrals and Marcinkiewicz integrals with applications to angular integrability
报告人:  刘风 副教授(山东科技大学)
时间地点: 12月3日下午14:00-15:00 后主楼1129
邀请人:  薛庆营
报告摘要:In this talk, we will discuss certain singular integral operators, maximal singular integral operators and Marcinkiewicz integral operators, along polynomial curves. Assuming that the kernels of operators are rough not only on the unit sphere but also on the radial direction, we establish certain weighted estimates for these operators. As applications, we obtain that these operators are bounded on the mixed radial-angular spaces $L_{|x|}^pL_{\theta}^{q}(\mathbb{R}^n)$,on  the vector-valued mixed radial-angular spaces $L_{|x|}^pL_{\theta}^{q}(\mathbb{R}^n,\ell^{q})$ function spaces $L^p(\mathbb{R}^n,\ell^q)$. Particularly, the bounds are independent of the coefficients of the polynomials in the definition of the operators. This is joint work with Professor Dashan Fan.​