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Bergman projection mapping into the little Bloch space
时间:2023年04月04日 09:03 点击数:

报告人:Jouni Rättyä

报告地点:Zoom会议 会议ID:693 9535 0258

报告时间:2023年4月6日 星期四 16:00-17:00

邀请人:段永江

报告摘要:

We characterize those radial weights that induce the Bergman projection mapping the space of continuous functions in the closed unit disc boundedly into the little Bloch space. We also characterize the weights for which the projection is onto. The proofs are different from those used in the case of standard radial weights and are based on a new pointwise estimate of the modulus of the Bergman reproducing kernel induced by a radial doubling weight.

主讲人简介:

JouniRättyä,Professor of Department of Physics and Mathematics in University of Eastern Finland(Ita-Suomenyliopisto). His main research interests are mainly in the fields such as operator theory, analytic function spaces and complex differential equations. Recently, He and the collaborators made a deep and systematic study on the weighted Bergman spaces. He published more than 70 papers, including Mem. Amer. Math. Soc., Adv. Math., Math. Ann., J. Math. Pures Appl., Proc. Lond.Math. Soc., J. Funct. Anal., Trans. Amer. Math. Soc., Math. Z., J. Geom. Anal., J. Anal. Math., Potential Anal. etc.

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