Alexandre Almeida - Publications

Books (edition):

Papers:

  • Approximation in generalized Morrey spaces (with S. Samko), submitted.
  • A framework for variable Besov-Morrey spaces (with A. Caetano), submitted.
  • Homogeneous variable exponent Besov and Triebel-Lizorkin spaces (with L. Diening and P. Hästö), Mathematische Nachrichten, accepted.
  • Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces (with S. Samko), Nonlinear Anal. 164 (2017), 67-76.
  • Approximation in Morrey spaces (with S. Samko), J. Funct. Anal. 272 (6) (2017), 2392-2411. [Zbl 06680858]
  • Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications (with A. Caetano), J. Funct. Anal. 270 (5) (2016), 1888-1921. [Zbl 1353.46024]
  • On 2-microlocal spaces with all exponents variable (with A. Caetano), Nonlinear Anal. 135 (2016), 97-119. [Zbl 1355.46034]
  • Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces (with P. Harjulehto, P. Hästö and T. Lukkari) Ann. Mat. Pura Appl. (4) 194, no. 2, 405-424 (2015). [Zbl 1310.47069]
  • Interpolation in variable exponent spaces (with P. Hästö), Rev. Mat. Complut. 27, No. 2, 657-676 (2014) [Zbl 1311.46028]
  • Maximal, potential and singular type operators on Herz spaces with variable exponents (with D. Drihem), J. Math. Anal. Appl. 394, no. 2, 781-795 (2012). [Zbl 1250.42077]
  • Real interpolation of generalized Besov-Hardy spaces and applications (with A. Caetano), J. Fourier Anal. Appl. 17, no. 4, 691-719 (2011) [Zbl 1232.46029].
  • Generalized Hardy spaces (with A. Caetano), Acta Math. Sin., Engl. Ser. 26, no. 9, 1673-1692 (2010) [Zbl 1204.42030]
  • Besov spaces with variable smoothness and integrability (with P. Hästö), J. Funct. Anal. 258, no. 5, 1628-1655 (2010) [Zbl 1194.46045]
  • On interpolation properties of generalized Besov spaces, Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 601-610 (2009). [Zbl 1188.46011]
  • Fractional and hypersingular operators in variable exponent spaces on metric measure spaces (with S. Samko), Mediterr. J. Math. 6, no. 2, 215-232 (2009). [Zbl 1182.43011]
  • Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order (with S. Samko), J. Math. Anal. Appl. 353, no. 2, 489-496 (2009). [Zbl 1176.46036]
  • Maximal and potential operators in variable exponent Morrey spaces (with J. Hasanov and S. Samko), Georgian Math. J. 15, no. 2, 195-208 (2008). [Zbl 1263.42002]
  • Inversion of the Bessel potential operator in weighted variable Lebesgue spaces (with H. Rafeiro), J. Math. Anal. Appl. 340, no. 2, 1336-1346 (2008). [Zbl 1148.47010]
  • Pointwise inequalities in variable Sobolev spaces and applications (with S. Samko), Z. Anal. Anwend. 26, no. 2, 179-193 (2007) [Zbl 1131.46022]
  • Characterization of Riesz and Bessel potentials on variable Lebesgue spaces (with S. Samko), J. Funct. Spaces Appl. 4, no. 2, 113-144 (2006). [Zbl 1129.46022]
  • Wavelet bases in generalized Besov spaces, J. Math. Anal. Appl. 304, no. 1, 198-211 (2005) [Zbl 1108.42007]
  • Inversion of the Riesz potential operator on Lebesgue spaces with variable exponent, Fract. Calc. Appl. Anal. 6, no. 3, 311-327 (2003) [Zbl 1094.42009]

Theses:

  • Function Spaces of Generalized Smoothness and Variable Integrability, PhD Thesis, University of Aveiro, 136 pp, 2005.
  • Real Interpolation of Hardy Spaces (in Portuguese), Master Thesis, University of Aveiro, 109 pp, 2000.