報 告 內(nèi) 容 簡 介 |
報告內(nèi)容簡介: We introduce area operators in the Dirichlet series setting for and positive Borel measures on the right half-plane . It is proved that if is a Carleson measure on , then for , the area operator is bounded from the Hardy space of Dirichlet series vanishing at to some -space. Moreover, if is a Carleson measure for the conformally invariant Hardy space (), then is bounded on the Hardy space of Dirichlet series. We also show an application of our method to Volterra operators.
報告人簡介: 王茂發(fā),武漢大學數(shù)學與統(tǒng)計學院教授,、博士生導師,,武漢大學數(shù)學與統(tǒng)計學院副院長,全國泛函分析空間理論學術(shù)委員會成員,、現(xiàn)代分析數(shù)學及其應用學術(shù)委員會成員,,主要研究領域為泛函分析及其應用、函數(shù)空間上的算子理論,,先后承擔國家自然科學重點項目,、面上項目等多項,在J.Funct.Anal., J.Operator Theory, Math.Z., Indiana Univ.Math.J., Sci.China Math.等期刊上發(fā)表學術(shù)論文一百余篇,。 |