標(biāo)題：Asymptotic Behavior of Singular Values of Some Operators on Weighted Bergman Spaces
報(bào)告時(shí)間：2024年11月28日（星期四）14：00-15：00
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議（會(huì)議ID：224-547-321，會(huì)議密碼：241128）
主講人：王曉峰
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
In this talk, I will report some recent researches on the asymptotic behavior of singular values of some operators on a large class of weighted Bergman spaces, including Toeplitz operators, Hankel operators and composition operators. We use the non-increasing rearrangement of IDA function with respect to a suitable measure to characterize the asymptotic behavior of the singular values sequence of Hankel operatorsacting on a large class of weighted Bergman spaces. As a corollary, we show that the simultaneous asymptotic behavior of and can be characterized in terms of the asymptotic behavior of non-increasing rearrange-ment of mean oscillation function. Moreover, in the weighted Fock spaces, we demon -strate the Berger-Coburn phenomenon concerning the membership of Hankel opera-tors in the weak Schatten class.
主講人簡(jiǎn)介：
王曉峰，廣州大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院教授、博士生導(dǎo)師。長(zhǎng)期從事基礎(chǔ)數(shù)學(xué)研究工作，主要研究方向?yàn)樗阕永碚撆c算子代數(shù)。曾到美國(guó)進(jìn)行一年的學(xué)術(shù)訪(fǎng)問(wèn)，研究成果發(fā)表于Math. Z.，J. Geom. Anal., J. Oper. Theo., 中國(guó)科學(xué)等及被Trans. AMS錄用，先后主持國(guó)家自然科學(xué)基金4項(xiàng)，獲得過(guò)霍英東青年教師獎(jiǎng)、廣州市優(yōu)秀教師等榮譽(yù)。
