·
Current
preprints
·
“A sufficient condition for Haar
multipliers in Triebel-Lizorkin spaces", w/ A. Seeger and T. Ullrich . Preprint 2023. Available in ArXiV
·
“Pointwise
convergence of fractional powers of Hermite type operators", w/ G. Flores, T.
Signes, and B.
Viviani. Available in ArXiV. Rev. Un. Mat. Argentina 66 (1) (2023), 187-205.
·
2022
·
“The WCGA in Lp(log L)
spaces". To appear in Constr. Approx,
2023.
·
“ Haar frame characterizations of Besov-Sobolev
spaces and optimal embeddings into their dyadic counterparts", with A. Seeger and T. Ullrich.
Jour Fourier Anal Appl 29 (2023), 1-51.
·
2021
·
“Lebesgue-type inequalities in greedy
approximation", w/ S.Dilworth, E. Hernández, D. Kutzarova
and V. Temlyakov. Jour
Funct Anal 180 (5) (2021), 108885. Available in ArXiV
·
“The Haar system in Triebel-Lizorkin spaces: endpoint results", w/ A. Seeger and T. Ullrich. J. Geom. Anal 31 (9) (2021), 9045-9089. Available
in ArXiV.
·
“Basis properties of the Haar system in limiting Besov
spaces", w/ A. Seeger and T. Ullrich. In Geometric aspects of harmonic
analysis, P. Ciatti and A. Martini (Eds), Springer-INdAM
series, Vol 45, (2021) . Available in ArXiV.
·
2020
·
“Hilbert type inequalities in
homogeneous cones” with C.
Nana. Rend Lincei Mat 31 (4) (2020), 815-838.
·
“Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures", w/ G. Flores . Positivity 24 (3) (2020), 565-584.
·
“Lebesgue inequalities for Chebyshev
thresholding greedy algorithms", w/ P. Berná, O. Blasco, E. Hernández and T. Oikhberg. Rev. Matem. Complut. 33 (3) (2020), 695-722.
·
2018
·
“Embeddings and Lebesgue/type inequalities for the greedy
algorithm in Banach spaces", w/ P. Berná, O. Blasco, E. Hernández and T. Oikhberg. Constr. Approx. 48 (3) (2018), 415-451.
·
“The Haar system as a
Schauder basis in spaces of Hardy-Sobolev
type", w/ A. Seeger and T. Ullrich. Jour.
Fourier Anal. Appl. 24
(5) (2018), 1319-1339.
·
2017
·
“Lebesgue inequalities for the greedy
algorithm in general bases", w/ P. Berná, O. Blasco. Rev. Matem. Complut. 30 (2) (2017), 369–392.
·
"A.e. convergence and 2-weight inequalities for
Poisson-Laguerre semigroups", w/ S. Hartzstein,
T. Signes and B. Viviani. Ann. Matem.
Pura Appl. 196 (5) (2017), 1927–1960.
·
“On uniform boundedness of dyadic averaging
operators in spaces of Hardy-Sobolev type", w/ A. Seeger and T. Ullrich. Anal. Math. 43 (2) (2017), 267–278.
·
2016
·
"Pointwise
convergence to initial data of heat and Poisson equations", w/ S. Hartzstein,
T. Signes, J.L. Torrea and B. Viviani. Trans.
AMS. 368 (9) (2016), 6575-6600.
·
“A weak 2-weight problem for the Poisson-Hermite semigroup”. In Proceedings of the conference VI Cidama, Antequera (Spain),
World Scientific 2017, pp 153-171.
·
2015
·
“Conditionality
constants of quasi-greedy bases in super-reflexive Banach spaces", w/ F.
Albiac, J.L. Ansorena,
E. Hernández and M.
Raja. Studia Math. 227 (2) (2015), 133-140 (earlier
preprint version).
·
2014
·
"Conditional quasi-greedy bases in Hilbert
and Banach spaces", with P. Wojtaszczyk. Indiana Univ. Math. J. 63 (4) (2014), 1017-1036.
·
“Lp-Lq estimates for Bergman projections in
bounded symmetric domains of tube type”, with A. Bonami and C. Nana. J. Geom. Anal. 24 (4) (2014), 1737-1769.
·
2013
·
“Lebesgue type inequalities for quasi-greedy bases”, w/ E. Hernández and T. Oikhberg. Constr. Approx. 38 (2013),
447-470.
·
2012
·
“Democracy functions and optimal
embeddings for approximation spaces”, w/ E. Hernández and M. de Natividade. Adv Comput Math. 37 (2)
(2012), 255-283.
·
2011
·
“Democracy functions of wavelet
bases in general Lorentz spaces”, w/ E. Hernández and M. de Natividade. Jour. Approx. Theory 163 (2011), 1509-1521.
·
2010
·
“Analytic Besov spaces and Hardy-type
inequalities in tube domains over symmetric cones”, with D. Békollé, A. Bonami, F.
Ricci and B. Sehba. J. Reine
Angew. Math. 647 (2010), 25–56.
·
“Möbius invariance of analytic Besov spaces in tube domains over symmetric cones”. Colloq. Math. 118 (2) (2010), 559-568.
·
“Riesz transform characterization of Hardy
spaces associated with certain Laguerre expansions”, w/ J. Betancor and J. Dziubanski. Tohoku Math. Jour. 62 (2) (2010), 215-231.
·
“A mixed norm
variant of Wolff’s inequality for paraboloids”, w/ A. Seeger. In “8th International Conference in Harmonic Analysis
and PDEs, El Escorial 2008”, pp 179-198. Contemporary Mathematics 505, Amer Math Soc. (2010).
·
2009
·
“A note on
maximal operators associated with Hankel multipliers”, w/ A. Seeger. Rev. Un. Mat. Argentina 50 (2) (2009),
133-144.
·
“On plate
decompositions of cone multipliers", w/ A. Seeger. Proc. Edin. Math. Soc. 52 (3) (2009), 631-651.
·
2008
·
“Improvements in
Wolff’s inequality for decompositions of cone multipliers”, with W. Schlag
and A. Seeger. Preprint 2008 (preliminary version).
·
“Characterizations
of Hankel multipliers”, with Andreas Seeger. Math. Annalen 342 (1) (2008), 31-68.
·
“Wavelets, Orlicz spaces and greedy bases”, w/ E. Hernández and J.M. Martell. Appl.
Comput. Harm. Anal. 24 (1) (2008), 70-93.
·
2007
·
“Discrete radar ambiguity problems", w/ A. Bonami and Ph. Jaming. Appl.
Comput. Harm. Anal. 23 (3) (2007), 388-414.
·
“A sharp
weighted transplantation theorem for Laguerre function expansions”, w/ E. Harboure, T. Signes, J.L. Torrea and B. Viviani. Jour. Funct. Anal. 244 (2007), 247-276.
·
2006
·
"Weighted inequalities and a.e. convergence for
Poisson integrals in light-cones", w/ E. Damek, E. Harboure, J.L. Torrea. Math. Annalen 336 (3), 2006, 727-746.
·
“Further results
on connectivity of Parseval frame wavelets”, w/ E. Hernández,
H. Sikic, F. Soria. Proc. AMS 134 (2006)
3211-3221.
·
2005
·
“A note on plate
decompositions of cone multipliers", w/ A. Seeger. Hokkaido
Univ. Report Series 103, Dec.
2005. Proceedings of “Harmonic Analysis and Applications at Sapporo, 2005”, pp. 13-28.
·
"BMO spaces related to Schrodinger
operators with potentials satisfying a reverse Holder inequality", w/ J. Dziubanski,
T. Martínez,
J.L. Torrea,
J. Zienkiewicz. Math. Z. 249, 329-356
(2005).
·
2004
·
"Littlewood-Paley decompositions and
Bergman projectors related to symmetric cones", w/ D. Békollé, A. Bonami and F. Ricci. Proc. London Math. Soc. 89 (2004), pp.
317-360.
·
"Sharp Jackson and Bernstein inequalities for N-term approximation
in sequence spaces with applications", w/ E. Hernández. (PDF). Indiana
Univ. Math. J. 53 (6) (2004), 1741-1764.
·
"Wavelet characterizations for anisotropic Besov
spaces with 0<p<1" , w/ R. Hochmuth and A. Tabacco. Proc. Edin. Math. Soc. 47 (2004), pp. 573-595.
·
"Biorthogonal wavelets, MRA´s and
shift-invariant spaces", w/ M. Bownik. Studia Math. 160 (3), (2004), 231-248.
·
"Lecture notes on Bergman projectors in tube domains over ones: an
analytic and geometric viewpoint", w/ D. Békollé, A. Bonami, C. Nana, Marco Peloso and F. Ricci. Preprint 2002. (Lecture notes) IMHOTEP
5 (2004).
·
"Wavelet methods in image compression". (Survey talk). IMHOTEP
5 (2004).
·
"Wavelet
approximation methods in image and signal compression". w/ E. Hernández. (Survey talk) Rev. Un. Mat. Argentina 45 (1), (2004), 25-41.
·
2003
·
"Connectivity in the set of tight frame wavelets (TFW)", w/ E. Hernández,
H. Sikic, F. Soria, G. Weiss and E. Wilson. Glasnik Mat. 38 (2003), 75-98.
·
2002
·
"Poisson-like kernels in tube domains over light-cones". Rend. Mat. Acc. Lincei. s. 9, v. 13, 2002, pp. 111-123.
·
"Wavelet decompositions of anisotropic Besov spaces", w/ A. Tabacco. Math. Nachr. 239-240 (2002), 80-102.
·
2001
·
"A characterization of wavelet families arising from biorthogonal
MRA's of multiplicity d",
w/ A. Calogero. J. Geom. Anal. 11 (2), 1-38 (2001).
·
"Generalized Hardy spaces on tube domains over cones". Colloq. Math. 90 (2), 2001, pp.
213--251.
·
2000
· "Littlewood-Paley decompositions related to symmetric cones", w/ A. Bonami & D. Békollé. IMHOTEP 3 (1), 2000, pp. 11-41.
· "Zéros de
fonctions holomorphes et contre-exemples en théorie des radars",
w/ Ph. Jaming & J.B. Poly. Actes des Rencontres d´Analyse
Complexe, Poitiers 1999. Éd. Atlantique et ESA CNRS 6086 (2000), pp.
81-104.
·
"Completeness in the set of
wavelets",
w/ D. Speegle. Proc. AMS 128 (14) 2000, 1157-1166.
·
1999
·
"The
behaviour at the origin of a class of band-limited wavelets", w/ L. Brandolini, Z.
Rzeszotnik and G. Weiss. Contemporary Mathematics 247, 1999,
pp. 75-91.
·
"Connectivity, homotopy
degree, and other properties of \alpha-localized wavelets on R" . Publicacións Matemŕtiques 43 (1) 1999, 303-340.
·
1998
·
"Basic properties of wavelets", by the WUTAM Consortium. J. Fourier Anal. Appl. 4 (4,5),
1998, pp. 575-594.
·
"The characterization of wavelets and
related functions", w/ M. Frazier, K.
Wang & G. Weiss. J. Fourier Anal. Appl., Vol. 3 (Special Issue),
1997, pp. 883-906.
·
Ph. D. Thesis : "The characterization of wavelets and related functions and the
connectivity of a-localized wavelets in R" (pdf
file) . (DVI file) . May 1998, Washington University .
For further
questions:
|
E-mail: |
|
|
Phone: |
(34) 968-88 77 89 |
|
CURRENT POSTAL ADDRESS |
|
Gustavo Garrigós |
|
Universidad de Murcia |
|
Departamento de Matemáticas |
|
Campus Espinardo |
|
30100 Murcia, SPAIN |
|
Updated: July/28/2023 |