Preprints
44. A.J. Castro, K. Jabbarkhanov, A. Kassimbekov
Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces,
2024
43. A.J. Castro, A. Esfahani, L. Zhapsarbayeva
A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces,
Nonlinear Anal. 238 (2024), 113400.
2023
42. A.J. Castro, L. Zhapsarbayeva
Some local well posedness results in weighted Sobolev space H^{1/3} for the 3-KdV equation,
JMMCS 120 (2023), 3-15.
41. A.A. Valido, A.J. Castro,
Topological magnetoelectric response in passive magnetic devices,
Phys. Rev. Appl. 20 (2023), 034034.
40. A.J. Castro, A. Israelsson, W. Staubach, M. Yerlanov,
Estimates for evolutionary partial differential equations in classical function spaces,
Forum Math. Sigma 11 (2023), 1-57.
39. J.J. Betancor, A.J. Castro, M. De León-Contreras,
The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure,
Ann. Scuola Norm. Super. Pisa-Cl. Sci. 24 (2023), 551-597.
2022
38. A.J. Castro, K. Jabbarkhanov, L. Zhapsarbayeva
The Nonlinear Schrödinger-Airy equation in weighted Sobolev spaces,
Nonlinear Anal. 223 (2022), 113068.
37. J.J. Betancor, A.J. Castro, M. De León-Contreras,
Variation operators for semigroups associated with Fourier-Bessel expansions,
Commun. Pure Appl. Anal. 21 (2022), 239-273.
2021
36. A.J. Castro, A. Israelsson, W. Staubach,
Regularity of Fourier integral operators with amplitudes in general Hörmander classes,
Anal. Math. Phys. 11 (2021), 1-54.
35. A. Zhumekenov, R. Takhanov, A.J. Castro, Z. Assylbekov,
Approximation error of Fourier neural networks
Stat. Anal. Data Min. 14 (2021), 258-270.
34. D. O. Da Silva, A.J. Castro,
Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces,
J. Differ. Equ. 275 (2021), 234-249.
2020
33. A. Zhumekenov, M. Uteuliyeva, O. Kabdolov, R. Takhanov, Z. Assylbekov, A.J. Castro,
Fourier neural networks: A comparative study,
Intell. Data Anal. 24 (2020), 1107-1120.
32. J.J. Betancor, A.J. Castro, J.C. Fariña, L. Rodríguez-Mesa,
Discrete harmonic analysis associated with ultraspherical expansions,
Potential Anal. 53 (2020), 523-563.
31. A. Assaubay, A.J. Castro, A.A. Valido,
Wigner instability analysis of the damped Hirota equation,
Physica D 411 (2020), 132587.
2019
30. A. Assaubay, J.J. Betancor, A.J. Castro, J.C. Fariña,
Riesz transforms, Cauchy-Riemann systems and amalgam Hardy spaces,
Banach J. Math. Anal. 13 (2019), 697-725.
29. V. Almeida, J.J. Betancor, A.J. Castro, J.C. Fariña, L. Rodríguez-Mesa,
BMO functions and Balayage of Carleson measures in the Bessel setting,
Rev. Mat. Complut. 32 (2019), 57-98.
28. V. Almeida, J.J. Betancor, A.J. Castro, L. Rodríguez-Mesa,
Variable exponent Hardy spaces associated with discrete Laplacians on graphs,
SCI China Math. 62 (2019), 73-124.
27. A.J. Castro, S. Rodríguez-López, W. Staubach,
Transference of local to global L2 maximal estimates for dispersive partial differential equations,
J. Math. Anal. Appl. 471 (2019), 411-422.
2018
26. A.J. Castro, M. Strömqvist,
Homogenization of a a parabolic Dirichlet problem by a method of Dahlberg,
Publ. Mat. 62 (2018), 439-473.
25. A.J. Castro, J.G. Llorente, A. Nicolau,
Oscillation of generalized differences of Hölder and Zygmund functions,
J. Geom. Anal. 28 (2018), 1665-1686.
24. A.J. Castro, S. Rodríguez-López, W. Staubach,
L^2-solvability of the Dirichlet, Neumann and the regularity problems for parabolic equations with time-independent Hölder-continuous coefficients,
Trans. Amer. Math. Soc. 370 (2018), 265-319.
2017
23. V. Almeida, J.J. Betancor, A.J. Castro, A. Sanabria, R. Scotto,
Variable exponent Sobolev spaces associated with Jacobi expansions,
J. Math. Inequal. 11 (2017), 901-946.
22. J.J. Betancor, A.J. Castro, J.C. Fariña, L. Rodríguez-Mesa,
Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces,
J. Math. Anal. Appl. 447 (2017), 32-75.
2016
21. A.J. Castro, K. Nyström, O. Sande,
Boundedness of single layer potentials associated to divergence form parabolic equations with complex coefficients,
Calc. Var. Partial Differ. Equ. 55 (2016), 1-49.
20. A.J. Castro, A. Nowak, T. Z. Szarek,
Riesz-Jacobi transforms as principal value integrals,
J. Fourier Anal. Appl. 22 (2016), 493-541.
19. J.J. Betancor, A.J. Castro, L. Rodríguez-Mesa,
Square functions and spectral multipliers for Bessel operators in UMD spaces,
Banach J. Math. Anal. 10 (2016), 338-384.
18. A.J. Castro, T. Hytönen,
Bounds for partial derivatives: necessity of UMD and sharp constants,
Math. Z. 282 (2016), 635-650.
17. V. Almeida, J.J. Betancor, A.J. Castro, K. Sadarangani,
Riesz transforms and multipliers for the Bessel-Grushin operator,
J. Anal. Math. 128 (2016), 51-106.
16. J.J. Betancor, A.J. Castro, J.C. Fariña, L. Rodríguez-Mesa,
UMD Banach spaces and square functions associated with heat semigroups for Schrödinger, Hermite and Laguerre operators,
Math. Nachr. 289 (2016), 410-435.
2015
15. J.J. Betancor, A.J. Castro, J.C. Fariña, L. Rodríguez-Mesa,
Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions,
J. Math. Anal. Appl. 431 (2015), 440-470.
14. J.J. Betancor, A.J. Castro, L. Rodríguez-Mesa,
UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces,
Integr. Equ. Oper. Theory 81 (2015), 319-374.
2014
13. J.J. Betancor, A.J. Castro, J. Curbelo, J.C. Fariña, L. Rodríguez-Mesa,
Square functions in the Hermite setting for functions with values in UMD spaces,
Ann. Mat. Pura Appl. 193 (2014), 1397-1430.
12. J.J. Betancor, A.J. Castro, P.R. Stinga,
The fractional Bessel equation in Hölder spaces,
J. Approx. Theory 184 (2014), 55-99.
11. V. Almeida, J.J. Betancor, A.J. Castro,
UMD Banach spaces and the maximal regularity for the square root of several operators,
Semigroup Forum 88 (2014), 21-51.
10. A.J. Castro, T. Z. Szarek,
On fundamental harmonic analysis operators in certain Dunkl and Bessel settings,
J. Math. Anal. Appl. 412 (2014), 943-963.
9. A.J. Castro, T. Z. Szarek,
Calderón-Zygmund operators in the Bessel setting for all possible type indices,
Acta Math. Sinica (Engl. Ser.) 30 (2014), 637-648.
8. J.J. Betancor, A.J. Castro, P.L. De Nápoli, J.C. Fariña, L. Rodríguez-Mesa,
Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators,
Proc. Amer. Math. Soc. 142 (2014), 251-261.
2013
7. J.J. Betancor, A.J. Castro, L. Rodríguez-Mesa,
Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions,
Positivity 17 (2013), 535-587.
6. J.J. Betancor, A.J. Castro, L. Rodríguez-Mesa,
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings,
J. Convex Anal. 20 (2013), 763-811.
5. J.J. Betancor, A.J. Castro, J. Curbelo, L. Rodríguez-Mesa,
Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators,
Complex Anal. Oper. Theory 7 (2013), 1019-1048.
2012
4. J.J. Betancor, A.J. Castro, J. Curbelo, J.C. Fariña, L. Rodríguez-Mesa,
gamma-radonifying operators and UMD-valued Littlewood-Paley-Stein functions in the Hermite setting on BMO and Hardy spaces,
J. Funct. Anal. 263 (2012), 3804-3856.
3. J.J. Betancor, A.J. Castro, A. Nowak,
Calderón-Zygmund operators in the Bessel setting,
Monatsh. Math. 167 (2012), 375-403.
2. J.J. Betancor, A.J. Castro, J. Curbelo,
Harmonic analysis operators associated with multidimensional Bessel operators,
Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), 945-974.
2011
1. J.J. Betancor, A.J. Castro, J. Curbelo,
Spectral multipliers for multidimensional Bessel operators,
J. Fourier Anal. Appl. 17 (2011), 932-975.
Thesis
2014 - PhD Thesis
Banach valued harmonic analysis associated with Bessel operators
Supervisors: J.J. Betancor, L. Rodríguez-Mesa
2010 - MSc Thesis
The stationary phase method, Bessel functions and applications (spanish)
Supervisor: G. Garrigós
2009 - BSc Thesis
Real analysis: maximal functions (spanish)
Supervisors: J.J. Betancor, L. Rodríguez-Mesa