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SUMMARY:Jujie Wu (Sun Yat-Sen University)
DTSTART:20210622T130000Z
DTEND:20210622T140000Z
DTSTAMP:20260422T201707Z
UID:CAvid/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/45/">W
 eighted L^2 polynomial approximation in C</a>\nby Jujie Wu (Sun Yat-Sen Un
 iversity) as part of CAvid: Complex Analysis video seminar\n\nLecture held
  in N/A.\n\nAbstract\nWe study the density of polynomials in $H^2(\\Omega\
 , \\varphi)$\, the space of square integrable holomorphic functions in a b
 ounded domain $\\Omega$ in $\\C$\, where $\\varphi$ is a subharmonic funct
 ion.  In particular\, we prove that the density holds in Caratheodory doma
 ins for any subharmonic function $\\varphi$ in a neighborhood of the closu
 re of $\\Omega$. In non-Caratheodory domains\, we prove that the density d
 epends on the weight function\, giving examples. We also give a weighted $
 L^2$ version of Weierstrass theorem and give the example. Some $L^2$ appro
 ximation in higher dimension also will be state here\, which part are in p
 rogress now.\n\nThis is joint with Severine Biard and John Erik Fornaess.\
 n
LOCATION:https://researchseminars.org/talk/CAvid/45/
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