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Identification

Personal identification

Full name
Helena Ferreira Gonçalves

Citation names

  • Gonçalves, Helena F.

Author identifiers

Ciência ID
7414-D3D1-6D0E
ORCID iD
0000-0001-5608-9102

Email addresses

  • helenag@ua.pt (Professional)

Telephones

Mobile phone
  • 916434662 (Personal)

Addresses

  • Mathematics Department, University of Aveiro, Campus Universitário de Santiago, 3810-193, Aveiro, Aveiro, Portugal (Professional)

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2)
German Beginner (A1) Intermediate (B1) Elementary (A2) Elementary (A2)
Education
Degree Classification
2014 - 2018
Concluded
Mathematik (Doktor (PhD))
Technische Universität Chemnitz, Germany
"2-microlocal spaces with variable exponents" (THESIS/DISSERTATION)
2012 - 2013
Concluded
Curso de especialização em Matemática Avançada (Diploma de especialização)
Universidade de Coimbra, Portugal
2009 - 2011
Concluded
Matemática (Mestrado integrado)
Major in Matemática Aplicada e Computação
Universidade de Coimbra, Portugal
"Espaços de Lebesgue com expoente variável" (THESIS/DISSERTATION)
2006 - 2009/07
Concluded
Matemática (Licenciatura)
Major in Gestão
Universidade de Aveiro, Portugal
Affiliation

Science

Category
Host institution
Employer
2021/09 - Current Researcher (Research) Universidade de Aveiro, Portugal
2018/10 - 2021/08 Contracted Researcher (Research) Friedrich-Schiller-Universität Jena Fakultät für Mathematik und Informatik, Germany
2018/05 - 2018/09 Contracted Researcher (Research) Universität Rostock, Germany
2017/03 - 2017/11 Contracted Researcher (Research) Ernst-Abbe-Hochschule Jena, Germany
2014/06 - 2017/02 Contracted Researcher (Research) Technische Universität Chemnitz, Germany

Teaching in Higher Education

Category
Host institution
Employer
2011/09 - 2012/08 Invited Assistant (University Teacher) Universidade de Coimbra, Portugal
Projects

Grant

Designation Funders
2012/09 - 2013/08 Bolsa de investigação
PEst-C/MAT/UI0324/2011
PhD Student Fellow
Universidade de Coimbra Centro de Matemática, Portugal
European Regional Development Fund

Associação para a Inovação e Desenvolvimento da FCT
Concluded

Contract

Designation Funders
2021/09 - Current CIDMA
UIDB/04106/2020
Post-doc
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2023/07/01 - 2023/11/30 Competências 4 Pós-COVID - Competências para o futuro no Ensino Superior
POCH-02-53I2-FSE-000029
Supervisor
2018/05 - 2021/08 The real-variable theory of function spaces and its applications
Ha 2794/8-1
Post-doc
Deutsche Forschungsgemeinschaft

National Natural Science Foundation of China
Ongoing
2014/06 - 2017/11 Function spaces with variable exponents
KE 1847/1-1
Researcher
Deutsche Forschungsgemeinschaft
Concluded
2016/01 - 2016/12 Smoothness Morrey spaces with variable exponents
-
Researcher
Deutscher Akademischer Austauschdienst

Conselho de Reitores das Universidades Portuguesas
Concluded
Outputs

Publications

Conference paper
  1. Carvalho, Paula; Descalço, Luís; Gonçalves, Helena F.. "Attention span in Calculus classes and Yoga breaks". Palma, 2023.
    Published • 10.21125/edulearn.2023.0619
  2. Carvalho, Paula; Descalço, Luís; Gonçalves, Helena F.. "Using computer algebra systems in teaching and assessment in Calculus". Palma, 2023.
    Published • 10.21125/edulearn.2023.0618
  3. Carvalho, Paula; Descalço, Luís; Gonçalves, Helena F.. "Assessment in the context of collaborative learning in mathematics". 2023.
    10.21125/edulearn.2023.0450
Journal article
  1. Gonçalves, Helena F.; Dorothee D. Haroske; Leszek Skrzypczak. Corresponding author: Leszek Skrzypczak. "Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator". Annali di Matematica Pura ed Applicata (1923 -) (2023): https://doi.org/10.1007/s10231-023-01327-w.
    10.1007/s10231-023-01327-w
  2. Helena F. Gonçalves; Dorothee D. Haroske; Leszek Skrzypczak. "Compact embeddings in Besov-type and Triebel-Lizorkin-type spaces on bounded domains". Revista Matemática Complutense (2021): https://doi.org/10.1007/s13163-020-00365-9.
    10.1007/s13163-020-00365-9
  3. Helena F. Gonçalves. "Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces". Banach Journal of Mathematical Analysis 15 3 (2021): https://doi.org/10.1007/s43037-021-00132-y.
    10.1007/s43037-021-00132-y
  4. Gonçalves, Helena. "Characterization of Triebel-Lizorkin type spaces with variable exponents via maximal functions, local means and non-smooth atomic decompositions". Mathematische Nachrichten (2018): http://dx.doi.org/10.1002/mana.201700257.
    10.1002/mana.201700257
  5. Gonçalves, Helena. "Franke-Jawerth embeddings for Besov and Triebel¿Lizorkin spaces with variable exponents". Annales Academiae Scientiarum Fennicae Mathematica (2018): http://dx.doi.org/10.5186/aasfm.2018.4310.
    10.5186/aasfm.2018.4310
  6. Gonçalves, Helena. "Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains". Revista Matemática Complutense (2017): http://dx.doi.org/10.1007/s13163-017-0231-8.
    10.1007/s13163-017-0231-8
  7. Gonçalves, Helena. "Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers". Journal of Mathematical Analysis and Applications (2016): http://dx.doi.org/10.1016/j.jmaa.2015.10.007.
    10.1016/j.jmaa.2015.10.007
  8. Gonçalves, Helena. "On trace spaces of 2-microlocal type spaces". Journal of Functional Analysis (2014): http://dx.doi.org/10.1016/j.jfa.2014.07.016.
    10.1016/j.jfa.2014.07.016
Preprint
  1. "Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator". 2021.
  2. "Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces". 2020.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/09 Embeddings of smoothness Morrey spaces on domains XIII Annual International Conference of the Georgian Mathematical Union
(Batumi, Georgia)
2023/07 Using computer algebra systems in teaching and assessment in Calculus EDULEARN23
(Palma, Spain)
2022/10/03 Embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains International Conference of Function Spaces and Applications
(Apolda, Germany)
2022/01/20 Embeddings of smoothness Morrey spaces on domains Functional Analysis and Applications Seminar
Universidade de Aveiro (Aveiro, Portugal)
2020/11 Embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains Function spaces seminar
Friedrich Schiller University Jena (Jena, Germany)
2020/01 Compact embeddings on smoothness Morrey spaces on bounded domains Function spaces seminar
Friedrich Schiller University Jena (Jena, Germany)
2017/11 The embeddings of Jawerth and Franke for Besov and Triebel-Lizorkin spaces with variable exponents Functions Spaces Seminar
Friedrich Schiller University Jena (Jena, Germany)
2017/08 On Triebel-Lizorkin-type spaces with variable exponents Nonstandard growth phenomena 2017
(Turku, Finland)
2017/07 The embeddings of Jawerth and Franke for Besov and Triebel-Lizorkin spaces with variable exponents New perspectives in the theory of function spaces and their applications (NPFSA) 2017
(Bedlewo, Poland)
2016/11 The embeddings of Jawerth and Franke for Besov and Triebel-Lizorkin spaces with variable exponents Analysis Seminar
CMUC - Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2016/07 A more general atomic decomposition of 2-microlocal spaces with variable integrability Function Spaces, Differential Operators and Nonlinear Analysis (FSDONA) 2016
(Praga, Czech Republic)
2016/02 Non-smooth atomic decomposition of 2-microlocal spaces with variable integrability Analysis Seminar
CMUC - Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2016/02 Function spaces with variable exponents Research Seminar Program - UC|UP Joint PhD Program in Mathematics
Universidade de Porto (Porto, Portugal)
2015/07 Non-smooth atomic decomposition of 2-microlocal spaces with variable integrability Function Spaces XI
(Zielona Gora, Poland)
2015/07 Non-smooth atomic decomposition of 2-microlocal spaces with variable integrability Siegmundsburg Seminar on Analysis and Theoretical Numerics
(Siegmundsburg, Germany)
2015/01 Besov and Triebel-Lizorkin spaces Ph.D. Seminar
Chemnitz University of Technology (Chemnitz, Germany)
2014/12 On trace spaces of 2-microlocal type spaces Functions Spaces Seminar
Friedrich Schiller University Jena (Jena, Germany)
2014/07 On trace spaces of 2-microlocal type spaces Siegmundsburg Seminar on Analysis and Theoretical Numerics
(Siegmundsburg, Germany)
2013/05 On Trace spaces of 2-microlocal Triebel-Lizorkin spaces Ph.D. Seminar
Universidade de Coimbra (Coimbra, Portugal)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2023/07/01 - 2023/11/30 "Competências 4 Pós-COVID - Competências para o futuro no Ensino Superior", Código POCH-02-53I2-FSE-000029
Supervisor
Universidade de Aveiro, Portugal

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2023/09 - 2024/02 Métodos Numéricos e Estatísticos (Licenciatura) Universidade de Aveiro, Portugal
2023/02 - 2023/07 Cálculo II - Agrupamento 1 (Licenciatura) Universidade de Aveiro, Portugal
2022/09 - 2023/02 Métodos Numéricos e Estatísticos (Licenciatura) Universidade de Aveiro, Portugal
2021/09 - 2022/02 Métodos Numéricos e Estatísticos (Licenciatura) Universidade de Aveiro, Portugal
2011/09 - 2012/08 Álgebra Linear e Geometria Analítica (Licenciatura) Universidade de Coimbra, Portugal
2011/09 - 2012/08 Análise Matemática II (Licenciatura) Universidade de Coimbra, Portugal
2011/09 - 2012/08 Análise Matemática III (Licenciatura) Universidade de Coimbra, Portugal