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BEGIN:VEVENT
SUMMARY:Juan J. Donaire (Universitat Autonoma de Barcelona)
DTSTART:20200420T130000Z
DTEND:20200420T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/1
DESCRIPTION:Title: Higher order Schwarzian derivatives as multipliers betwee
n Bergman spaces\nby Juan J. Donaire (Universitat Autonoma de Barcelon
a) as part of Seminari d'anàlisi de Barcelona\n\n\nAbstract\nIf $f :\\mat
hbb D \\to C$ 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 ope
rator is conformally invariant and has a growth given by\n\n$$\n(1-|z|^2)^
2|\\mathcal S(f)| \\le 6\, z \\in \\mathbb D\n$$\n\nIn this talk\, we shal
l find higher order derivatives of this type and we shall obtain estimates
on the norm of the operator between Bergman spaces consisting in the poin
twise multiplication by these derivatives.\nAs an application\, we shall o
btain information on the growth of the integral means of derivatives of co
nformal maps.\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergey Tikhonov (ICREA-CRM)
DTSTART:20200427T130000Z
DTEND:20200427T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/2
DESCRIPTION:Title: Central inequalities in approximation theory revised\
nby Sergey Tikhonov (ICREA-CRM) as part of Seminari d'anàlisi de Barcelon
a\n\n\nAbstract\nI review some classical estimates in constructive approxi
mation involving measures of smoothness of functions and their best approx
imations as well as needed polynomial inequalities. I discuss known and ne
w findings in this topic.\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ujué Etayo (TU Graz)
DTSTART:20200504T130000Z
DTEND:20200504T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/3
DESCRIPTION:Title: A sharp Bombieri inequality\, logarithmic energy and well
conditioned polynomials\nby Ujué Etayo (TU Graz) as part of Seminari
d'anàlisi de Barcelona\n\n\nAbstract\nDuring this talk\, we will present
a sharp Bombieri-type inequality (an inequality of products of norms of p
olynomials) for univariate polynomials with complex coefficients. We will
sketch the proof that is based on some connections between minimizers of t
he discrete logarithmic energy on the unit sphere of dimension 2 and univa
riate polynomials with optimal condition number in the Shub-Smale sense.\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José G. Llorente (UAB)
DTSTART:20200511T130000Z
DTEND:20200511T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/4
DESCRIPTION:Title: Variations on Picard\nby José G. Llorente (UAB) as p
art of Seminari d'anàlisi de Barcelona\n\n\nAbstract\nPicards (little) th
eorem is one of the most striking results\, if not the most\, of classical
Complex Analysis. Since Picards original proof\, a great variety of appro
aches\, generalizations\, reinterpretations and\nsurprising links with oth
er areas have contributed to enrich the scope of Geometric Function Theory
.\nIn the talk we will report several variations on Picards theorem\, with
special emphasis on its real\nformulation. In this last direction\, we wi
ll discuss a recent extension in terms of the range of harmonic\nmaps in t
he plane.\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Debernardi (Bar-Ilan University)
DTSTART:20200518T130000Z
DTEND:20200518T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/5
DESCRIPTION:Title: Riesz bases of exponentials for convex polytopes with sy
mmetric faces\nby Alberto Debernardi (Bar-Ilan University) as part of
Seminari d'anàlisi de Barcelona\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xavier Tolsa (ICREA-Universitat Autònoma de Barcelona)
DTSTART:20200525T130000Z
DTEND:20200525T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/6
DESCRIPTION:Title: Unique continuation at the boundary for harmonic function
s in Lipschitz domains with small constant\nby Xavier Tolsa (ICREA-Uni
versitat Autònoma de Barcelona) as part of Seminari d'anàlisi de Barcelo
na\n\n\nAbstract\nIn a work from 1991 Fang-Hua Lin asked the following que
stion. Let $\\Omega\\subset R^n$ be a Lipschitz domain.\nLet $u$ be a func
tion harmonic in $\\Omega$ and continuous in $\\overline\\Omega$ which van
ishes in a relatively open subset $\\Sigma \\subset \\partial\\Omega$ and
moreover assume that the normal derivative $\\partial_\\nu u$ vanishes in
a subset 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 f
or $C^1$-Dini domains by results of Adolfsson-Escauriaza (1997) and Kukavi
ca-Nystr¨om (1998). In this talk I will explain a recent work where I sh
ow that the result also holds for Lipschitz domains with small Lipschitz c
onstant\, and thus in particular for general $C^1$ domains.\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pascal Thomas (Université de Toulouse)
DTSTART:20200608T130000Z
DTEND:20200608T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/7
DESCRIPTION:Title: Cyclicity of nonvanishing functions in the polydisk and i
n the ball\nby Pascal Thomas (Université de Toulouse) as part of Semi
nari d'anàlisi de Barcelona\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adi Glucksam (University of Toronto)
DTSTART:20200615T130000Z
DTEND:20200615T140000Z
DTSTAMP:20260404T095546Z
UID:BarcelonaAnalysis/8
DESCRIPTION:Title: Optimal growth of frequently oscillating subharmonic func
tions in R^d\nby Adi Glucksam (University of Toronto) as part of Semin
ari d'anàlisi de Barcelona\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BarcelonaAnalysis/8/
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