Cristina Pereyra

Publications/Preprints

• Weighted inequalities for t-Haar multipliers
  with Daewon Chung, Weiyan Huang, Jean Carlo Moraes, and Brett Wick.
  Submitted March 2023
  Available at arXiv:2303.14556
  

• Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type
  with Yongsheng Han, Ji Li and Lesley Ward.
  New York J. Math. 27 (2021), 1173--1239.
  Available at NYJM
  

• Geometric Characterization of embedding theorems --for Sobolev, Besov, and Triebel-Lizorkin spaces on spaces of homogeneous type-- via orthonormal wavelets
  with Yanchang Han, Yongsheng Han, Ziyi He, and Ji Li.
  J. Geom. Anal. 31 (9) (2021), 8947-8978. DOI: 10.1007/s12220-020-00536-6
  

• A note on weak factorization of Meyer-type Hardy space via Cauchy operator
  with Yongsheng Han, Ji Li, and Brett Wick.
  Studia Math 253 (2020), 307--327.
  Available at arXiv:1902.00839
  

• Dyadic harmonic analysis and weighted inequalities: the sparse revolution.
  In: Aldroubi A., Cabrelli C., Jaffard S., Molter U. (eds) New Trends in Applied Harmonic Analysis, Volume 2.
  Applied and Numerical Harmonic Analysis. Birkhauser, Cham (2019) 259--239. https://doi.org/10.1007/978-3-030-32353-0_7
  Available at arXiv:1812.00850v1
  

• On Two Weight Estimates for Dyadic Operators.
  with Oleksandra Beznosova, Daewon Chung, and Jean Moraes.
  M. C. Pereyra et al (eds), Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 2).
  Association for Women in Mathematics Series 5, Springer International Publishing (2017) 135--169.
  pdf version

• Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 2). Celebrating Cora Sadosky's life.
  Edited by Pereyra, M.C., Marcantognini, S., Stokolos, A.M., Urbina, W.
  Association for Women in Mathematics Series, 5, Springer, Cham, 2017, xx+460 pp.
  Title online
  

• Remembering Cora Sadosky.
  with Estela Gavosto, Andrea R. Nahmod, Gustavo Ponce, Rodolfo H. Torres, and Wilfredo Urbina.
  Reprinted from AWM Newsletter 41, no. 2, (2011), 5-14. With additional contributions by Steven Krantz, Maria Dolores Morn and Guido L. Weiss. Association for Women in Mathematics Ser., 4, Harmonic analysis, partial differential equations, complex analysis, Banach spaces, and operator theory. Vol 1, 29--52, Springer (2016).
  

• Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory. Vol. 1. Celebrating Cora Sadosky's life.
  Edited by Pereyra, M.C., Marcantognini, S., Stokolos, A.M., Urbina, W.
  Association for Women in Mathematics Series, 4, Springer, Cham, 2016, xvi+371 pp.
  Title online
  

• Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type,
  with Anna Kairema, Ji Li and Lesley Ward.
  J. Funct. Anal. 271, 7 (2016) 1793--1843.
  pdf version

• Sharp bounds for t-Haar multipliers on L2,
  with Oleksandra Beznosova and Jean Moraes.
  "Harmonic analysis and partial differential equations", 45--64, Contemp. Math., 612, Amer. Math. Soc., Providence, RI, 2014.
  pdf version

• Weighted estimates for dyadic paraproducts and t-Haar multipliers with complexity (m,n),
  with Jean Moraes.
  Publ. Mat. 57 (2013), 265--294.
  pdf version

• Weighted inequalities and dyadic harmonic analysis.
  "Excursions in harmonic analysis. Volume 2", 281--306, Appl. Numer. Harmon. Anal., Birkhauser/Springer, New York, 2013.
  pdf version

• Harmonic Analysis: from Fourier to Wavelets,
  with Lesley Ward.
  Student Mathematical Library Series, Vol 63 (410 pages), Amer. Math. Soc. 2012.
  Title online

• Sharp bounds for general commutators on weighted Lebesgue spaces,
  with Daewon Chung and Carlos Perez.
  Trans. Amer. Math. Soc. 364 (2012), 1163--1177
  pdf version

• Haar multipliers meet Bellman functions.
  Revista Matematica Iberoamericana 25 (2009), no. 3, 799--840.
  pdf version

• Wavelets, their friends, and what they can do for you,
  with Martin Mohlenkamp.
  EMS Lecture Series in Mathematics, European Mathematical Society 2008, (119 pages).
  Title online

• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces,
  with Oliver Dragi\v{c}evi\'c, Loukas Grafakos, and Stefanie Petermichl.
  Publ. Mat. 49 (2005), 73-91.
  ps version, pdf version

• Harmonic Analysis: from Fourier to Haar,
  with Lesley Ward.
  Lecture Notes delivered at the Program for Women in Mathematics held at the Institute for Advanced Studies, Princeton. Preprint (2004).
  ps version, pdf version

• Data-driven and optimal denoising of a signal and recovery of its derivative using multiwavelets,
  with Sam Efromovich, Joseph D. Lakey, and Nate Tymes.
  IEEE Transactions on Signal Processing, vol 52, no. 3, p. 1-8 (2004).
  pdf version

• Three -dimensional audio localization using wavelet-domain convolution,
  with Paul F. Hubbard, Kristin L. Umland, and Thomas P. Caudell.
  Proceedings of the SPIE Vol. 5207, p. 271--279. "Wavelets: Applications in Signal and Image Processing X", Michael A. Unser, Akram Aldroubi, Andrew F. Laine; Eds. (2004) (refereed conference proceedings).
  ps version, pdf version

• On the non-existence of certain divergence-free multiwavelets,
  with Joseph D. Lakey.
  In 'Wavelet and Signal Processing', Appl. Numer. Harmon. Anal. Birkhauser Boston, Boston, MA. L. Debnath, Ed. (2003) (invited paper).
  ps version,pdf version

• Lecture notes on dyadic harmonic analysis.
  In ``Second Summer school in analysis and mathematical physics. Topics in analysis: harmonic, complex, nonlinear and quantization,''
  Cuernavaca Morelos, Mexico, June 12-22, 2000. S. P\'erez-Esteva, C.Villegas eds. Contemporary Mathematics 289 AMS, Ch. I, p. 1--61 (2001).
  pdf version

• Multiwavelets and EP denoising,
  with Timothy L. Berkopec, Joseph D. Lakey, Nate Tymes.
  Proc. SPIE Vol. 4478, p. 230--241, Wavelets: Applications in Signal and Image Processing IX, Andrew F. Laine; Michael A. Unser; Akram Aldroubi; Eds. (2001) (refereed conference proceedings).
  pdf version

• Multiwavelet characterization of function spaces adapted to the Navier-Stokes equations,
  with Joseph D. Lakey and Sofian Obeidat.
  Proc. SPIE Vol. 4119, p. 372--383, Wavelet Applications in Signal and Image Processing VIII, Akram Aldroubi; Andrew F. Laine; Michael A. Unser; Eds (2000) (invited paper).
  pdf version

• The Application of Multiwavelets to Recovery of Signals,
  with Sam Efromovich, Nate Tymes.
  Computing Science and Statistics, p. 234--241, 33 (2000).
  

• Divergence-free multiwavelets on rectangular domains,
  with Joseph D. Lakey.
  In "Wavelet Analysis and Multiresolution Methods", p. 203--240, Lecture Notes in Pure and Appl. Math. 212 , Dekker, NY, 2000 (invited paper).
  ps version, pdf version

• A note on a maximal function over arbitrary sets of directions,
  with Ana M. Vargas.
  Bull. London Math. Soc. 32 no. 1, p. 71-74 (2000).
  ps version, pdf version

• Multiwavelets on the interval and divergence-free wavelets,
  with Joseph D. Lakey.
  Proc. of the SPIE 3813 "Wavelet Applications in Signal and Image Processing VII", Unser, Michael A.; Aldroubi, Akram; Laine, Andrew F (eds.) p. 162--173 (1999).
  pdf version

• Haar multipliers, paraproducts, and weighted inequalities,
  with Nets H. Katz.
  In "Analysis of Divergence", W. Bray, C. Stanojevic eds. Chapter 10, p. 145--170 (1999).
  ps version, pdf version

• Divergence-free multiwavelets,
  with Joseph D. Lakey and Peter R. Massopust.
  Approximation Theory IX 2 p. 161--168, C. K. Chui and L. L. Schumaker, eds. Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998 (refereed conference proceedings).
  ps version, pdf version

• Paraexponentials, Muckenhoupt weights, and dyadic paraproducts,
  with Lesley Ward.
  Proceedings of the AMS 126(01):135--144 (1998).
  ps version, pdf version

• On the two weight problem for the Hilbert transform.
  with Nets H. Katz.
  Revista Matem\'{a}tica Iberoamericana 13(01):211--242 (1997).
  ps version, pdf version

• Sobolev spaces on Lipschitz curves.
  Pacific Journal of Mathematics 172(2):553--589 (1996).
  ps version,pdf version

• On the resolvent of the dyadic paraproduct, and a non linear operation on $RH_p$ weights.
  Cont. Math. of AMS. 189(01):461-471 (1995).
  ps version, pdf version

• On the resolvents of dyadic paraproducts.
  Revista Matem\'atica Iberoamericana 10(03):627--664 (1994).
  ps version, pdf version

• Sobolev spaces on Lipschitz curves, paraproducts, and related operators.
  Yale University. ProQuest Dissertations Publishing, 1993.
  Dissertation

• Eigenfunction expansions of covariance kernels of Hilbert space processes,
  with Mischa Cotlar and Jose Leon.
  Acta Cient. Venezolana 38(05-06):563--569 (1987).

Last revised January 2021

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