NICOLA ARCOZZI
UNIVERSITY
OF BOLOGNA
homepage of Nicola Arcozzi
RESEARCH INTERESTS: harmonic analysis, complex analysis, geometry of the Heisenberg group
Preprints (.pdf)
TITLE |
WITH |
CURRENT STATUS |
Invariance of capacity under quasisymmetric maps of the circle: an easy proof |
To appear on a proceeding volume |
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Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces |
To appear on Potential Analysis in a revised form |
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CC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups |
submitted |
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preliminary version |
Published papers
TITLE AND LINK |
WITH |
JOURNAL |
Mathematicians in Bologna 1861–1960, Birkhauser (2012), p.1-29 |
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FUNCTION SPACES: Proc. 6th Conf. on Function Spaces, Cont. Math. series of the AMS, vol. 547, 2011 |
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The published paper. New York Journal of Mathematics, Volume 17a, 2011: Recent Advances in Function Related Operator Theory (Rincon, Puerto Rico, 2010). |
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Journal of the London Mathematical Society 2010; doi: 10.1112/jlms/jdq053 |
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Analysis and PDE, Vol. 3, n. 1, 21-47. Here is the published paper |
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CRM Proceedings and Lectures Notes, Vol 51, 2010 |
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Daniel Blasi, Jordi Pau |
Indiana J. Math. 58, issue 3, 2009 |
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Capacity, Carleson measures, boundary convergence, and exceptional sets |
"Perspective in Harmonic Analysis and Applications" in honor of V.G. Maz'ya 70-th birthday, AMS Proceedings of Symposia in Pure and Applied Mathematics (2008) |
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Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls |
Adv. Math. (2008) (here is the published paper) |
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Topics in Complex Analysis and Operator Theory, Proceedings of the Winter School held in Antequera, Malaga, Spain (February 5-9 2006), p. 141-148. |
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The Hessian of the distance from a surface in the Heisenberg group |
Ann. Acad. Sci. Fenn. Math., Volumen 33, 2008, 35-63 (here is the published paper) |
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Comm. Math. Helvetici, Volume 83, Issue 1, 2008, pp. 101-141 (here is the published paper) |
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From Gruschin to Heisenberg via an isoperimetric problem, fig.1, fig.2 |
JMAA, Volume 340, Issue 1, 1 April 2008, Pages 165-174 |
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The characterization of the Carleson measures for analytic Besov spaces: a simple proof |
A. CARBERRY, P. L. DUREN, D. KHAVINSON, A. G. SISKAKIS eds. Complex and Harmonic Analysis. An international conference. Thessaloniki, Greece. 25-27 maggio 2006. Destech Publications Inc. p. 1 - 12. |
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The Diameter Space:, a restriction of the Drury-Arveson-Hardy space |
Function Spaces, Edited by Krzysztof Jarosz (Proceeding of a conference held at Southern Illinois University at Edwardsville, IL), Contemporary Mathematics vol. 435, (2007) p.21-42. |
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Metric normal and distance function in the Heisenberg group (363Kb) |
Math. Z.,
Volume 256, Number 3 / July, 2007 (2007) |
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A global Inverse Map Theorem and biLipschitz maps in the Heisenberg group |
Annali dell'Universita di Ferrara, Volume 52, Number 2 / November, 2006,173-482 |
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Hardy's inequalities for monotone functions on partially ordered measure spaces |
Proc. Royal Soc. Edinb. A. 136 (2006) n.5 |
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Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls |
Mem. Amer. Math. Soc. 182 (2006), no. 859, vi+163 pp. |
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A potential theoretic approach to twisting. |
Current trends in potential theory, 3--15, |
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Trans. Amer. Math. Soc. (2006) |
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Carleson measures for the analytic Besov spaces: the upper triangle case |
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JIPAM.
J. Inequal. Pure Appl. Math. 6 (2005),
no.
1, |
New York J. of Math. 10 (2004) |
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Large classes of minimally supported frequency wavelets of $L\sp 2(\Bbb R)$ and $H\sp 2(\Bbb R)$. |
J. Geom. Anal. 13 (2003), no. 4, 557--579. |
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Dominating
sets for analytic and harmonic functions |
Math. Proc. Royal Irish Acad. |
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Carleson measures for analytic Besov spaces. |
Rev.
Mat. Iberoamericana |
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$L\sp p$ estimates for systems of conjugate harmonic functions. |
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Complex analysis and differential equations |
Proc. Amer. Math. Soc. 126 (1998), n.6 |
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Riesz transforms on compact Lie groups, spheres and Gauss space. |
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Math. Res. Lett. 4 (1997), no. 3, 401--412 |
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Approach regions for trees and the unit disc. |
J. Reine Angew. Math. 472 (1996), 157--175 |
Seminars and unpublished
Distance from a curve in the Heisenberg group (preliminary version) |
seminario Pini 2012 (here is a beamer of a talk at the annual meeting of the Italian Harmonicists, with pictures and misprints) |
Comunicazione al XIX Congresso UMI, Bologna 12-17/09/2011 |
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Carleson measures and Potential Theory: lect.1, lect.2, lect.3, lect.4, lect.5. |
Lectures for the The Dirichlet Space: Connections between Operator Theory, Function Theory, and Complex Analysis, Summer Graduate Workshop at MSRI (June 20, 2011 to July 1, 2011). Videos and notes of the lectures in the school are here. |
Topix in Math, Bologna 17/06/2011 (seminario espositivo, in italiano) |
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Convegno Nazionale di Analisi Armonica 2011; Roma, 31/05/11 (beamer) |
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Capacita' d'insiemi per alberi, grafi e spazi metrici Ahlfors-regolari |
seminario Pini 2010 (italian) |
Oberwolfach report, 2010 |
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Oberwolfach problem session, 2010 |
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Topix in Math, Bologna 2010, in italian (ci sono un paio di misprint almeno) |
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seminario Pini 2008 (italian) |
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Normale metrica e regolarita` della funzione distanza sul gruppo di Heisenberg |
seminario Pini 2005 (italian) |
seminario Pini 2004 (italian) |
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Disuguaglianze di Sobolev per funzioni olomorfe, con applicazioni |
seminario Pini 2001 (italian) |
unpublished notes, 1996. |
genova2012_beamer1.tex
genova2012_beamer1.pdf
cnaa1.pdf,
cnaa2.pdf,
cnaa3.pdf,
cnaa3a.pdf,
cnaa3b.pdf,
cnaa4.pdf,
cnaa5.pdf,
cnaa6.pdf,
cnaa7.pdf,
cnaa8.pdf.