BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Juan J. Donaire (Universitat Autonoma de Barcelona)
DTSTART:20200420T130000Z
DTEND:20200420T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/1
DESCRIPTION:Title: Higher order Schwarzian derivatives as multipliers between Bergm
an spaces\nby Juan J. Donaire (Universitat Autonoma de Barcelona) as p
art of Seminari d'anàlisi de Barcelona\n\n\nAbstract\nIf $f :\\mathbb D \
\to C$ is locally univalent\, the Schwarzian derivative is defined as\n\n$
$ \n\\mathcal S(f) = \\left( \\frac{f''}{f'} \\right)' - \\frac 1 2 \\left
( \\frac{f''}{f'} \\right)^2 \n$$\n\nIf $f$ is univalent\, this operator i
s conformally invariant and has a growth given by\n\n$$\n(1-|z|^2)^2|\\mat
hcal S(f)| \\le 6\, z \\in \\mathbb D\n$$\n\nIn this talk\, we shall find
higher order derivatives of this type and we shall obtain estimates on the
norm of the operator between Bergman spaces consisting in the pointwise m
ultiplication by these derivatives.\nAs an application\, we shall obtain i
nformation on the growth of the integral means of derivatives of conformal
maps.\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergey Tikhonov (ICREA-CRM)
DTSTART:20200427T130000Z
DTEND:20200427T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/2
DESCRIPTION:Title: Central inequalities in approximation theory revised\nby Ser
gey Tikhonov (ICREA-CRM) as part of Seminari d'anàlisi de Barcelona\n\n\n
Abstract\nI review some classical estimates in constructive approximation
involving measures of smoothness of functions and their best approximation
s as well as needed polynomial inequalities. I discuss known and new findi
ngs in this topic.\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ujué Etayo (TU Graz)
DTSTART:20200504T130000Z
DTEND:20200504T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/3
DESCRIPTION:Title: A sharp Bombieri inequality\, logarithmic energy and well condit
ioned polynomials\nby Ujué Etayo (TU Graz) as part of Seminari d'anà
lisi de Barcelona\n\n\nAbstract\nDuring this talk\, we will present a shar
p Bombieri-type inequality (an inequality of products of norms of polynomi
als) for univariate polynomials with complex coefficients. We will sketch
the proof that is based on some connections between minimizers of the disc
rete logarithmic energy on the unit sphere of dimension 2 and univariate p
olynomials with optimal condition number in the Shub-Smale sense.\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José G. Llorente (UAB)
DTSTART:20200511T130000Z
DTEND:20200511T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/4
DESCRIPTION:Title: Variations on Picard\nby José G. Llorente (UAB) as part of
Seminari d'anàlisi de Barcelona\n\n\nAbstract\nPicards (little) theorem i
s one of the most striking results\, if not the most\, of classical Comple
x Analysis. Since Picards original proof\, a great variety of approaches\,
generalizations\, reinterpretations and\nsurprising links with other area
s have contributed to enrich the scope of Geometric Function Theory.\nIn t
he talk we will report several variations on Picards theorem\, with specia
l emphasis on its real\nformulation. In this last direction\, we will disc
uss a recent extension in terms of the range of harmonic\nmaps in the plan
e.\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Debernardi (Bar-Ilan University)
DTSTART:20200518T130000Z
DTEND:20200518T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/5
DESCRIPTION:Title: Riesz bases of exponentials for convex polytopes with symmetric
faces\nby Alberto Debernardi (Bar-Ilan University) as part of Seminar
i d'anàlisi de Barcelona\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xavier Tolsa (ICREA-Universitat Autònoma de Barcelona)
DTSTART:20200525T130000Z
DTEND:20200525T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/6
DESCRIPTION:Title: Unique continuation at the boundary for harmonic functions in Li
pschitz domains with small constant\nby Xavier Tolsa (ICREA-Universita
t Autònoma de Barcelona) as part of Seminari d'anàlisi de Barcelona\n\n\
nAbstract\nIn a work from 1991 Fang-Hua Lin asked the following question.
Let $\\Omega\\subset R^n$ be a Lipschitz domain.\nLet $u$ be a function ha
rmonic in $\\Omega$ and continuous in $\\overline\\Omega$ which vanishes i
n a relatively open subset $\\Sigma \\subset \\partial\\Omega$ and moreove
r assume that the normal derivative $\\partial_\\nu u$ vanishes in a subse
t of $\\Sigma$ with positive surface measure. Is it true that then $u$ is
identically zero? Up to now\, the answer was known to be positive for $C^1
$-Dini domains by results of Adolfsson-Escauriaza (1997) and Kukavica-Nyst
r¨om (1998). In this talk I will explain a recent work where I show that
the result also holds for Lipschitz domains with small Lipschitz constant
\, and thus in particular for general $C^1$ domains.\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pascal Thomas (Université de Toulouse)
DTSTART:20200608T130000Z
DTEND:20200608T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/7
DESCRIPTION:Title: Cyclicity of nonvanishing functions in the polydisk and in the b
all\nby Pascal Thomas (Université de Toulouse) as part of Seminari d'
anàlisi de Barcelona\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adi Glucksam (University of Toronto)
DTSTART:20200615T130000Z
DTEND:20200615T140000Z
DTSTAMP:20260422T214839Z
UID:BarcelonaAnalysis/8
DESCRIPTION:Title: Optimal growth of frequently oscillating subharmonic functions i
n R^d\nby Adi Glucksam (University of Toronto) as part of Seminari d'a
nàlisi de Barcelona\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BarcelonaAnalysis/8/
END:VEVENT
END:VCALENDAR