Andreas Hartmann Professor Equipe d'Analyse Institut de Mathématiques de Bordeaux UMR 5251 Université de Bordeaux 351, cours de la Libération F-33405 TALENCE/Cedex Tel.: +33 (0) 5 40 00 69 47 e-mail : Andreas.Hartmann (at) math.u-bordeaux.fr |
INSPE de l'Académie de Bordeaux Château Bourran
160, av de Verdun, BP 90152
F-33705 MERIGNAC/Cedex
|
Research
Research directions :
Complex and
harmonic analysis, Operator theory, Banach space geometry, in
particular
related
to reproducing kernels
(interpolation, sampling, uniqueness, completeness...)
in
spaces of
holomorphic functions (of Banach, Hilbert and Fréchet-type), Toeplitz
operators, boundary
value behavior of
analytic functions, Carleson and reverse Carleson measures. Model spaces,
de Branges-Rovnyak spaces, Fock type
spaces, Dirichlet type spaces. Links with control theory.
Preprints and work in progress:
1) An analytic approach to estimating the solutions of Bézout's polynomial identity,34)
Dominating sets in Bergman spaces
and sampling constants,
with D.
Kamissoko, S. Konaté and M.-A.
Orsoni, preprint on HAL
Journal of Mathematical
Analysis and Applications 495
(2021), no.2,
29) Range spaces of
co-analytic Toeplitz operators,
with E. Fricain, and
W.T. Ross,
Can. J. Math. 70
(2018), no. 6, 1261-1283, preprint
on HAL
28) Traces of the
Nevanlinna class on discrete sequences,
with X. Massaneda,
and A. Nicolau,
Complex Anal. Oper.
Theory 12 (2018), 1945-1958, preprint
on HAL
27) Multipliers
between model spaces,
with E. Fricain,
and W.T. Ross,
Studia Math. 240
(2018), 177-191, preprint
on HAL
26) Geometry of
reproducing kernels in model spaces near the
boundary,
with A. Baranov, and K. Kellay,
Journal of Mathematical
Analysis and Applications 447 (2017), no.2,
971-987, preprint
on HAL
25) Geometric
conditions for multiple sampling and interpolation
in the Fock space,
with A. Borichev,
K. Kellay, and X. Massenada,
Advances in Mathematics
304 (2017), 1262-1295, preprint
on HAL
24) Multiple
sampling and interpolation in the classical Fock
space,
with A. Borichev,
K. Kellay, and X. Massenada,
Zapiski Nauchnykh
Seminarov POMI 434 (2015), 53-56,
Journal of Mathematical Sciences
215 (2016), no. 5, 574-576, preprint
on HAL
23) Concrete
examples of $\mathscr{H}(b)$ spaces,
with E. Fricain, and
W.T. Ross,
Computational Methods and
Function Theory 16 (2016), no. 2, 287-306, preprint
on HAL
22) Direct and reverse
Carleson measures for $\mathcal{H}(b)$ spaces,
with A. Blandignères, E.
Fricain, F. Gaunard and W.T. Ross,
Indiana University
Mathematics Journal 64 (2015), no. 4,
1027-1057, preprint
on HAL
21) Sampling, interpolation
and Riesz bases in small Fock spaces,
with A. Baranov, A. Dumon, and
K. Kellay,
Journal de
Mathématiques Pures et Appliquées (9) 103
(2015), no. 6, 1358–1389, preprint
on HAL
20) Reverse Carleson
measures in Hardy spaces,
with A. Nicolau, X.
Massaneda and J. Ortega-Cerdà,
Collectanea
Mathematica 65 (2014), no. 3, 357-365, preprint
on HAL
19) Reverse Carleson
embeddings for model spaces,
with A. Blandignères, E.
Fricain, F. Gaunard and W.T. Ross,
Journal of the London
Mathematical Society (2) 88 (2013), 437-464, preprint on HAL
18) Bad boundary behavior in
star invariant subspaces II,
with W.T. Ross, preprint
on HAL
Ann. Acad. Sci. Fenn. Math.
37 (2012),
467-478
17) Bad boundary behavior in
star invariant subspaces I,
with W.T. Ross,
Arkiv för Matematik 52
(2014), no.1, 113-134, preprint
on HAL
16) Truncated Toeplitz
operators and boundary
values in nearly invariant subspaces,
with W.T. Ross,
Complex Analysis and Operator
Theory 7 (2013), no. 1, 261–273, preprint
on HAL
15) Boundary values in
range spaces of co-analytic truncated Toeplitz
operators,
with W.T. Ross,
Publicacions Matemàtiques 56 (2012), no.1,
191-223, preprint
on HAL
14) Extremely weak
interpolation in $H^{\infty}$,
Proc. Amer. Math. Soc. 140
(2012), 2411-2416, preprint
on HAL
13) Uniform minimality,
unconditionality and interpolation in backward shift
invariant
subspaces,
with E. Amar,
Ann. Inst. Fourier 60 (2010), no.1,
1871--1903, preprint
on HAL
12) Some remarks on analytic
continuation in weighted backward shift invariant
subspaces,
Arch. Math. 96 (2011), no.1, 59--75 , preprint
on HAL,
11) Multipliers in
Hardy-Orlicz spaces and interpolation,
Math. Scand.106 (2010), no.1,
2010, 107--141
10)
Interpolation and harmonic majorants in big
Hardy-Orlicz spaces,
J. Anal. Math. 103 (2007), no.1,
197--219.
9) Surjective
Toeplitz opertors,
with Donald Sarason and
Kristian Seip,
Acta Sci. Math. (Szeged) 70 (2004),
609--621.
8) Interpolation
in the Nevanlinna class and harmonic majorants,
with Xavier Massaneda, Artur
Nicolau and Pascal Thomas,
J. Funct. Anal. 217 (2004), no. 1,
1--37.
7) Extremal
functions as divisors for kernels of Toeplitz
operators,
with Kristian Seip,
J. Funct. Anal. 202 (2003),
342--362.
6) Interpolating
sequences for holomorphic functions of restricted
growth,
with Xavier Massaneda,
Illinois J. Math.46 (2002), no. 3,
929--945.
5) Generalized
interpolation in Bergman spaces and extremal
functions,
Math. Nachr. 224 (2001),
123--144.
4) On interpolating
varieties for spaces of entire functions,
joint work with X. Massaneda,
J. Geom. Anal. 10 (2000), no. 4,
683--696.
3) Free
interpolation in Hardy-Orlicz spaces,
Studia Math. 135, 1999, pp.
179-190.
2) Traces of certain
classes of holomorphic functions on finite unions of
Carleson sequences,
Glasgow Math. J. 41, 1999, no. 1,
pp. 103-114.
1) Une approche de
l'interpolation libre généralisée par la
théorie des opérateurs et
caractérisation de $H^p\bm_{\Lambda}$,
Journal of Operator Theory, vol. 35 (1996), no 2 ,
pp. 281-316.
Proceedings :
4)
A survey on reverse Carleson measures,
with E. Fricain, and W.T.
Ross, survey, Harmonic Analysis, Function
Theory, Operator Theory, and
Their Applications, Theta Foundation
International Book Series of Mathematical Texts
(Theta Ser.Adv. Math.), Theta,
Bucharest, Vol. 22, pp.
91-123, 2017, preprint
on HAL
3) Kernels of
Toeplitz operators,
with M. Mitkovski,
survey, "Recent Progress on Operator Theory and
Approximation in Spaces of Analytic Functions",
Contemporary Mathematics 679,
147-177, Amer. Math. Soc., Providence, RI, 2016, preprint
on HAL
2) Regularity on the
boundary in spaces of holomorphic functions on the
unit disk,
with E. Fricain, survey,
"Hilbert spaces of analytic
functions", CRM Proceedings & Lecture Notes 51,
91-119,
Amer. Math. Soc., Providence, RI,
2010, preprint
on HAL.
1) The generalized Carleson
condition in certain spaces of analytic functions,
Banach algebras '97 (Blaubeuren),
pp. 245-260, de Gruyter, Berlin, 1998.
Others :
4) Interpolation libre et
opérateurs de Toeplitz, 80p.,
Habilitation-thesis, Université
Bordeaux I, 2005, available
on HAL
3) Translation of the two volumes of the monograph :
Operators, Functions, and Systems: An Easy Reading, Nikolaï Nikolski, AMS surveys
Volume 1 : Hardy, Hankel, and Toeplitz. Translated
from the French by Andreas Hartmann. Mathematical
Surveys and Monographs, 92.
American Mathematical Society, Providence, RI,
2002. xiv+461 pp. ISBN: 0-8218-1083-9
Volume 2 : Model operators and systems. Translated
from the French by Andreas Hartmann and revised by the
author. Mathematical
Surveys and Monographs, 93. American Mathematical
Society, Providence, RI, 2002. xiv+439 pp. ISBN:
0-8218-2876-2
2) Interpolation
libre
et caractérisation des traces de fonctions
holomorphes sur
les réunions finies de suites de Carleson
,
PhD, July 1996, Bordeaux,
(supervisor: N. Nikolski).
1) Characterizations
of K-fonctionals, 99p.,
``Diplom'', 1993, Darmstadt
(supervisor : W. Trebels).
Back to my homepage: click here
(last updated october 23rd, 2023)