NICOLA ARCOZZI
UNIVERSITY
OF BOLOGNA
homepage of Nicola Arcozzi
RESEARCH INTERESTS: harmonic analysis, complex analysis, geometry of the Heisenberg group
Preprints (.pdf)
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Invariance of capacity under quasisymmetric maps of the circle: an easy proof |
Preliminary version |
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submitted |
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submitted |
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Potential Theory on Trees, Graphs and Ahlfors Regular Metric Spaces |
submitted |
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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
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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, |
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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 |
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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
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Comunicazione al XIX Congresso UMI, Bologna 12-17/09/2011 |
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"Carleson measures and Potential Theory" |
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). |
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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) |
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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) |
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seminario Pini 2004 (italian) |
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Disuguaglianze di Sobolev per funzioni olomorfe, con applicazioni |
seminario Pini 2001 (italian) |
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unpublished notes, 1996. |