Startseite FSU

Dr. Helena F. Gonçalves








Ernst-Abbe-Platz 2

Raum 3501A

 (+49) 3641 9 46120

(+49) 3641 9 46102


FSU Jena

Institut für Mathematik

07737 Jena

Research group "Function Spaces"


PhD dissertation

"2-microlocal spaces with variable integrability"
supervisor: Prof. Dr. Henning Kempka, Chemnitz University of Technology, 2018.


  • Helena F. Gonçalves, Susana D. Moura: Characterization of Triebel-Lizorkin type spaces with variable exponents via maximal functions, local means and non-smooth atomic decompositions. Math. Nachr. 291 (2018), no. 13, 2024-2044.
  • Helena F. Gonçalves, Henning Kempka, Jan Vybíral: Franke-Jawerth embeddings for Besov and Triebel-Lizorkin spaces with variable exponents. Ann. Acad. Sci. Fenn. Math. 43 (2018), no. 1, 187-209.
  • Helena F. Gonçalves, Henning Kempka: Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains. Rev. Mat. Complut. 30 (2017), no. 3, 467-486.
  • Helena F. Gonçalves, Henning Kempka: Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers. J. Math. Anal. Appl. 434 (2016), no. 2, 1875-1890.
  • Helena F. Gonçalves, Susana D. Moura, Júlio S. Neves: On trace spaces of 2-microlocal type spaces. J. Funct. Anal. 267 (2014), no. 9, 3444-3468.



  • Helena F. Gonçalves: Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces. submitted.   arXiv:2011.08490
  • Helena F. Gonçalves, Dorothee D. Haroske, Leszek Skrzypczak: Compact embeddings in Besov-type and Triebel-Lizorkin-type Spaces on bounded domains. Rev. Mat. Complut., to appear.


Some of my co-authors