Artur Nicolau
Professor de Matemàtiques
Universitat Autònoma de Barcelona
Publicacions
Contacte
Publicacions
1.
Ferreira, Gustavo R.; Nicolau, Artur;
Mixing and Ergodicity of Composition of Inner Functions
, Preprint 2024. (
file
)
2.
Ivrii, Oleg; Nicolau, Artur;
Analytic Mappings of the unit disk which almost preserve hyperbolic area
, Preprint 2024. To appear in Proc. London Math. Soc. (
file
)
3.
Limani, Adem; Nicolau, Artur;
Shift Invariant Subspaces in the Bloch Space
, Preprint 2023. (
file
)
4.
Nicolau, Artur; Soler i Gibert, Odí;
A Central Limit Theorem for Inner Functions II
, Preprint 2023. To appear in Complex Analysis and Operator Theory 2, INdAM Springer Series (
file
)
5.
Ivrii, Oleg ; Nicolau, Artur;
Beurling-Carleson sets, Inner Functions and a Semilinear Equation
, Analysis&PDE 17, no. 7 (2024), 2585-2618 (
file
)
6.
Bellavita, Carlo ; Nicolau, Artur;
One Component Bounded Functions
, Comput. Methods Funct. Theory 24, no.1 (2024), 121-148 (
file
)
7.
Limani, Adem;
Nicolau, Artur;
Bloch Functions and Bonami-Bekollé weights
, Indiana Univ. Math. J. 72, no.2 (2023), 381-407 (
file
)
8.
Donaire, Juan Jesús ;
Nicolau, Artur;
Iterates of Blaschke Products and Peano curves
, Int. Math. Res. Not. 2023, no.8 (2023), 7140–7168 (
file
)
9.
Nicolau, Artur;
Thomas, Pascal J.;
Invertibility threshold in Nevanlinna quotient algebras
, Canadian J. Math. 75, no.1 (2023), 225-244 (
file
)
10.
Nicolau, Artur;
Convergence of Linear Combinations of Iterates of an Inner Function
, J. Math. Pures Appl. (9) 161 (2022), 135–165 (
file
)
11.
Nicolau, Artur;
Soler i Gibert, Odí;
A Central Limit Theorem for Inner Functions
, Adv. Math. 401 (2022), Paper No. 108318, 39 pp. (
file
)
12.
Mozolyako, Pavel;
Nicolau, Artur;
Oscillation of functions in the Hölder class
, Potential Analysis 55 (2021), 53-74. (
file
)
13.
Reijonen, Atte;
Nicolau, Artur;
A characterization of one component inner functions
, Bull. London Math. Soc. 53 (2021), 42-52 (
file
)
14.
Levi, Matteo;
Nicolau, Artur;
Soler i Gibert, Odí;
Distortion and distribution of sets under inner functions
, J. Geom. Anal. 30 (2020), 4166–4177. (
file
)
15.
Nicolau, Artur;
Soler i Gibert, Odí;
Approximation in the Zygmund class
, J. London Math. Soc., 101 (2020), no.1, 226-246. (
file
)
16.
Massaneda, Xavier;
Nicolau, Artur;
Thomas, Pascal J.;
The Corona Property in Nevanlinna quotient algebras and Interpolating sequences
, J. Funct. Anal. 276 (2019), no. 8, 2636-2661 (
file
)
17.
Hartmann, Andreas;
Massaneda, Xavier;
Nicolau, Artur;
Finitely generated ideals in the Nevanlinna class
, Israel J. Math. 231 (2019), no. 1, 139-179 (
file
)
18.
Hartmann, Andreas;
Massaneda, Xavier;
Nicolau, Artur;
Traces of the Nevanlinna class on discrete sequences
, Complex Analysis and Operator Theory, (2018), no.12, 1945–1958 (
file
)
19.
Koskela, Pekka;
Nandi, Debanjan;
Nicolau, Artur;
Accessible Parts of Boundary for simply connected domains
, Proc. Amer. Math. Soc. 146 (2018), no. 8, 3403-3412 (
file
)
20.
Cufí, Julià;
Nicolau, Artur;
Seeger, Andreas;
Verdera, Joan;
On Square Functions with independent increments and Sobolev Spaces on the line
, Ann. Mat. Pura ed Applicata 197 (2018), no. 3, 905-940 (
file
)
21.
Gröhn, Janne; Nicolau, Artur; Rättyä, Jouni
Mean Growth and Geometric Zero Distribution of Solutions of Linear Differential Equations , J. Analyse Mat. 134 (2018), no. 2, 747–768 (
file
)
22.
Nicolau, Artur
Divided Differences, Square Functions and a Law of the Iterated Logarithm
, Real Anal. Exchange 43, no. 1 (2018), 155-186 (
file
)
23.
Castro, Alejandro J.;
Llorente, José G.;
Nicolau, Artur;
Oscillation of Generalized Differences of Hölder and Zygmund Functions
, J.Geom. Anal. 28 (2018) , Issue 2, pp 1665–1686 (
file
)
24.
Monreal, Nacho; Nicolau, Artur
Extremal Solutions of Nevanlinna Pick Problems and Certain Classes of Inner Functions, J. Analyse Mat. 134 (2018), no. 1, 127–138 (
file
)
25.
Gröhn, Janne;
Nicolau, Artur;
Inner Functions in certain Hardy-Sobolev spaces
, J. Funct. Anal. 272 (2017), no. 6, 2463–2486 (
file
)
26.
Borichev, Alexander;
Nicolau, Artur;
Thomas, Pascal;
Weak Embedding Property, Inner Functions and Entropy
, Math. Annalen 368(2017), 987–1015 (
file
)
27.
Gröhn, Janne,
Nicolau, Artur
Uniform separation through intermediate points
, Bull. London Math. Soc. 49 (2017), no. 3, 380–390 (
file
)
28.
Nicolau, Artur;
Números Normals
, Mat2. Departament de Matemàtiques, UAB. 2016 (
file
)
29.
Nicolau, Artur
The Nevanlinna-Pick Interpolation Problem, Proceedings Summerschool in Complex and Harmonic analysis, and related topics. Editors: J. Grohn, J. Heittokangas, R. Korhonen and J. Rattya. Publications of the University of eastern Finland, no.22, 2016 (
file
)
30.
Cima, Joseph; Nicolau, Artur
Inner Functions with Derivatives in Weak Hardy Spaces, Proc. Amer. Math. Soc. 143 (2015), 581-594 (
file
)
31.
Donaire, Juan Jesús; Llorente, José G.; Nicolau, Artur
Differentiability of functions in the Zygmund class
.
Proc. Lond. Math. Soc.
. (3) 108 (2014), no. 1, 133–158. (
file
)
32.
Gröhn, Janne; Nicolau, Artur
Inner functions in weak Besov spaces.
.
J. Funct. Anal.
.266 (2014), no. 6, 3685–3700. (
file
)
33.
Donaire, Juan Jesús; Llorente, José G.; Nicolau, Artur
Boundary Values of Harmonic Gradients and differentiability of Zygmund and Weierstrass Functions
.
Rev. Mat. Iberoamericana
. 30 (2014), no. 3, 1037–1071. (
file
)
34.
Hartmann, Andreas; Massaneda, Xavier; Nicolau, Artur; Ortega-Cerdà, Joaquim
Reverse Carleson measures in Hardy spaces
.
Collect. Math.
. 65 (2014), no. 3, 357–365. (
file
)
35.
Llorente, José G.; Nicolau, Artur
Oscillation of Hölder Continuous Functions
.
Real Anal. Exchange
. 39 (2013-14), no. 2, 305–322. (
file
)
36.
Nicolau, Artur; Suárez, Daniel
Paths of inner-related functions
.
J. Funct. Anal.
. 262 (2012), no. 9, 3749–3774. (
file
)
37.
Menal Ferrer, Pere; Monreal Galán, Nacho; Nicolau, Artur
Interpolating sequences for analytic selfmappings of the disc.
.
Amer. J. Math.
. 133 (2011), no. 2, 437–465. (
file
)
38.
Nicolau, Artur; Seco, Daniel
Smoothness of sets in Euclidean spaces
.
Bull. Lond. Math. Soc.
. 43 (2011), no. 3, 536–546 (
file
)
39.
Monreal, Nacho;
Nicolau, Artur;
The closure of the Hardy space in the Bloch norm
, Algebra i Analiz 22 (2010), no. 1, 75--81; St. Petersburg Math. J. 22 (2011), no. 1, 55-59 (
file
)
40.
Gallardo-Gutiérrez, Eva A.; González, María J.; Nicolau, Artur
Composition operators on Hardy spaces on Lavrentiev domains
.
Trans. Amer. Math. Soc.
. 360 (2008), no. 1, 395–410. (
file
)
41.
Nicolau, Artur
Cancel.lació i Automillora (in catalan)
.
Bull. Soc. Catlana Mat.
. 23 (2008), no. 2, 221–232 (
file
)
42.
Blasi, Daniel; Nicolau, Artur
Interpolation by positive harmonic functions
.
J. Lond. Math. Soc
. (2) 76 (2007), no. 1, 253–271 (
file
)
43.
Dyakonov, Konstantin; Nicolau, Artur
Free interpolation by nonvanishing analytic functions.
.
Trans. Amer. Math. Soc.
. 359 (2007), no. 9, 4449–4465. (
file
)
44.
Borichev, Alexander; Nicolau, Artur; Thomas, Pascal J.
Harmonic and superharmonic majorants on the disk.
.
Bull. London Math. Soc.
. 38 (2006), no. 2, 250–260. (
file
)
45.
Nicolau, Artur; Suárez, Daniel
Approximation by invertible functions of H∞
.
Math. Scand
. 99 (2006), no. 2, 287–319 (
file
)
46.
Hjelle, Geir Arne; Nicolau, Artur
Approximating the modulus of an inner function.
.
Pacific J. Math.
.228 (2006), no. 1, 103–118. (
file
)
47.
Bøe, Bjarte; Nicolau, Artur
Interpolation by functions in the Bloch space
.
J. Anal. Math
. 94 (2004), 171–194 (
file
)
48.
González, María José; Nicolau, Artur
Multiplicative square functions
.
Rev. Mat. Iberoamericana
20 (2004), no. 3, 673–736. (
file
)
49.
Hartmann, Andreas; Massaneda, Xavier; Nicolau, Artur; Thomas, Pascal
Interpolation in the Nevanlinna and Smirnov classes and harmonic majorants
.
J. Funct. Anal.
. 217 (2004), no. 1, 1–37. (
file
)
50.
González Llorente, José; Nicolau, Artur
Regularity properties of measures, entropy and the law of the iterated logarithm.
.
Proc. London Math. Soc.
. (3) 89 (2004), no. 2, 485–524. (
file
)
51.
Mortini, Raymond; Nicolau, Artur
Frostman shifts of inner functions
.
J. Anal. Math.
. 92 (2004), 285–326. (
file
)
52.
Nicolau, Artur; Ortega-Cerdà, Joaquim; Seip, Kristian
The constant of interpolation
.
Pacific J. Math.
213 (2004), no. 2, 389–398. . (
file
)
53.
González, María J.; Koskela, Pekka; Llorente, José G.; Nicolau, Artur
Distributional inequalities for non-harmonic functions.
.
Indiana Univ. Math. J.
.52 (2003), no. 1, 191–226. (
file
)
54.
González, María José; Nicolau, Artur
Doubling properties of A∞
.
J. Fourier Anal. Appl.
. 8 (2002), no. 6, 613–618. (
file
)
55.
Doubtsov, E.; Nicolau, Artur
Symmetric and Zygmund measures in several variables
.
Ann. Inst. Fourier (Grenoble)
. 52 (2002), no. 1, 153–177. (
file
)
56.
Nicolau, Artur; Pau, Jordi
Closures of finitely generated ideals in Hardy spaces
.
Ark. Mat.
. 39 (2001), no. 1, 137–149. (
file
)
57.
Nicolau, Artur; Pau, Jordi; Thomas, Pascal J.
Smallness sets for bounded holomorphic functions
.
J. Anal. Math.
.82 (2000), 119–148. (
file
)
58.
Nicolau, Artur; Orobitg, Joan
Joint approximation in BMO
.
J. Funct. Anal.
. 173 (2000), no. 1, 21–48.
59.
Mateu, J.; Mattila, P.; Nicolau, A.; Orobitg, J.
BMO for nondoubling measures
.
Duke Math. J.
. 102 (2000), no. 3, 533–565. (
file
)
60.
Nicolau, Artur
Radial behaviour of harmonic Bloch functions and their area function
.
Indiana Univ. Math. J.
. 48 (1999), no. 4, 1213–1236. (
file
)
61.
Aleksandrov, Alexei B.; Anderson, James Milne.; Nicolau, Artur
Inner functions, Bloch spaces and symmetric measures
.
Proc. London Math. Soc.
.(3) 79 (1999), no. 2, 318–352 . (
file
)
62.
González, María J.; Nicolau, Artur
Quasiconformal mappings preserving interpolating sequences
.
Ann. Acad. Sci. Fenn. Math.
. 23 (1998), no. 2, 283–290. (
file
)
63.
Fernández, José L.; Nicolau, Artur
Boundary behaviour of inner functions and holomorphic mappings.
.
Math. Ann.
. 310 (1998), no. 3, 423–445. (
file
)
64.
Nicolau, Artur; Xiao, Jie
Bounded functions in Möbius invariant Dirichlet spaces.
.
J. Funct. Anal.
. 150 (1997), no. 2, 383–425 (
file
)
65.
Garnett, John; Nicolau, Artur
Interpolating Blaschke products generate H∞
.
Pacific J. Math.
.173 (1996), no. 2, 501–510. (
file
)
66.
Nicolau, Artur; Stray, Arne
Nevanlinna's coefficients and Douglas algebras.
.
Pacific J. Math.
. 172 (1996), no. 2, 541–552. (
file
)
67.
Bruna, Joaquim; Nicolau, Artur; Øyma, Knut
A note on interpolation in the Hardy spaces of the unit disc.
.
Proc. Amer. Math. Soc.
. 124 (1996), no. 4, 1197–1204. (
file
)
68.
Amar, Eric; Bruna, Joaquim; Nicolau, Artur
n Hp-solutions of the Bezout equation.
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Pacific J. Math.
. 171 (1995), no. 2, 297–307. (
file
)
69.
Gorkin, Pamela; Mortini, Raymond; Nicolau, Artur
The generalized corona theorem
.
Math. Ann.
. 301 (1995), no. 1, 135–154.
70.
Nicolau, Artur
Finite products of interpolating Blaschke products
.
J. London Math. Soc.
. (2) 50 (1994), no. 3, 520–531. (
file
)
71.
Nicolau, Artur
Interpolating Blaschke products solving Pick-Nevanlinna problems.
.
J. Anal. Math.
. 62 (1994), 199–224.
72.
Nicolau, Artur
A characterization of the leading coefficient of Nevanlinna's parametrization.
.
Illinois J. Math.
. 37 (1993), no. 2, 284–301. (
file
)
73.
Nicolau, Artur
Blaschke products with prescribed radial limits
.
Bull. London Math. Soc.
. 23 (1991), no. 3, 249–255. (
file
)
74.
Nicolau, Artur
The corona property for bounded analytic functions in some Besov spaces.
.
Proc. Amer. Math. Soc.
.110 (1990), no. 1, 135–140. (
file
)
75.
Nicolau, Artur
The coefficients of Nevanlinna's parametrization are not in Hp
.
Proc. Amer. Math. Soc.
. 106 (1989), no. 1, 115–117. (
file
)