Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type

发布时间：2019-04-17 作者：浏览次数：

Speaker:	付星	DateTime:	2019年4月19日（周五）上午 10：00-11：00
Brief Introduction to Speaker: 付星，湖北大学数学与统计学学院讲师。		Place:	六号楼二楼报告厅
Abstract: Let be a metric measure space of homogeneous type in the sense of Coifman and Weiss. In this talk, we prove that bilinear operators, which are finite combinations of compositions of commutators and Calderón-Zygmund operators, are bounded from to . We also show that the commutator, generated by any and Calderón-Zygmund operator, is bounded from the Hardy-type space to the Hardy space , where is the largest subspace of that ensures the boundedness of the commutators from to . The novelties appearing in these approaches exist in applications of the multiresolution analysis of the wavelets on metric measure spaces of homogeneous type, the bilinear decomposition of the product space , the (sub)bilinear decomposition of commutators, the proof of off-diagonal estimates of the action of Calder\'on-Zygmund operators on the wavelet functions as well as the boundedness of the almost diagonal matrix on the spaces and . Notably, throughout this article, is not assumed to...