Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Fourier Analysis and the Theory of Operators.

2019/33/B/ST1/00165

Keywords:

Banach function spaces Boolean functions Calderón-Zygmund singular operators Fourier analysis Fourier transform factorization of operators Hardy spaces of Dirichlet series multipliers interpolation functors interpolation spaces ideals of operators stability of isomorphisms Lipschitz (q,p) - summing operators s - numbers of multilinear operators Sidon sets.

Descriptors:

  • ST1_008:
  • ST1_009:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Mieczysław Mastyło 

Number of co-investigators in the project: 1

Call: OPUS 17 - announced on 2019-03-15

Amount awarded: 207 130 PLN

Project start date (Y-m-d): 2020-02-20

Project end date (Y-m-d): 2025-02-19

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (28)
  1. The Fourier transform in weighted rearrangement invariant spaces
    Authors:
    Mieczysław Mastyło, Gord Sinnamon
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2024, tom: Volume 152, Number 3, March 2024, strony: 1099–1107), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16610 - link to the publication
  2. Aspects of the Kahane-Salem-Zygmund inequalities in Banach spaces
    Authors:
    Andreas Defant, Mieczysław Mastyło,
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2023, tom: Volume 117, issue 1, strony: Article: 44), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-022-01369-4 - link to the publication
  3. Carleson interpolating sequences for Banach spaces of analytic functions
    Authors:
    M. Lindström, M. Mastyło, P. Mleczko, D. Norrbo, and M. Rzeczkowski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2022, tom: 21(6), strony: 1915–1945), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1474748021000049 - link to the publication
  4. Ryll-Wojtaszczyk Formulas for bihomogeneous polynomials on the sphere
    Authors:
    Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło and Santiago Muro
    Academic press:
    Journal of Functional Analysis (rok: 2026, tom: Volume 290, Issue 9, strony: article number 111360), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2026.111360 - link to the publication
  5. The projection constant for the trace class
    Authors:
    Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło and Santiago Muro
    Academic press:
    Analysis & PDE (rok: 2025, tom: Vol. 18 (2025), No. 2, strony: 527–548), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2025.18.527 - link to the publication
  6. Isomorphisms on interpolation spaces generated by the method of means
    Authors:
    Mieczysław Mastyło
    Academic press:
    Annales Fennici Mathematici (rok: 2022, tom: Volumen 47, 2022, strony: 1159–1175), Wydawca: Finnish Mathematical Society
    Status:
    Published
    DOI:
    10.54330/afm.121842 - link to the publication
  7. On some measures of non-compactness associated to Banach operator ideals
    Authors:
    Antonio Manzano and Mieczysław Mastyło
    Academic press:
    Journal of Approximation Theory (rok: 2023, tom: Volume 285, strony: Article 105836), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2022.105836 - link to the publication
  8. Invertible and Fredholm operators on interpolation scales
    Authors:
    Irina Asekritova, Natan Kruglyak, Mieczyslaw Mastylo
    Academic press:
    Journal of Approximation Theory (rok: 2026, tom: Volume 314, Part 1 March 2026, strony: Article 106213), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2025.106213 - link to the publication
  9. The Navier–Stokes equation in some general Banach spaces
    Authors:
    Mieczysław Mastyło and Yoshihiro Sawano
    Academic press:
    Analysis and Applications (rok: 2026, tom: Volume 24, Issue 04 (May 2026), strony: 1055–1121), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219530525500411 - link to the publication
  10. Measures of noncompactness of interpolated polynomials
    Authors:
    Mieczysław Mastyło and Eduardo B. Silva
    Academic press:
    Forum Mathematicum (rok: 2023, tom: Volume 35 Issue 2, strony: 487–505), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2022-0169 - link to the publication
  11. A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type
    Authors:
    Loukas Grafakos, Mieczysław Mastyło, Lenka Slavíková
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: Volume 282, Issue 3, strony: Nr 109295), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109295 - link to the publication
  12. Invertible and Fredholm Operators in Spaces of Real Interpolation.
    Authors:
    Irina Asekritova, Natan Kruglyak and Mieczysław Mastyło
    Academic press:
    Communications in Optimization Theory. (rok: 2024, tom: Vol. 2024 (2024), Article ID 25, strony: 46040), Wydawca: Mathematical Research Press
    Status:
    Published
    DOI:
    10.23952/cot.2024.25 - link to the publication
  13. Bilinear interpolation theorems
    Authors:
    Mieczysław Mastyło
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2025, tom: Volume 119, Issue 2, strony: Article: 56), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-025-01713-4 - link to the publication
  14. Maximal subspaces of L1-spaces of a vector measure with lower p-estimate
    Authors:
    Mieczyslaw Mastylo; Enrique Alfonso Sánchez Pérez
    Academic press:
    Journal of Geometric Analysis (rok: 2025, tom: Volume 35, Issue 11, strony: article number 352), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-025-02179-x - link to the publication
  15. Multipliers and characterization of the dual of Nevanlinna-type spaces
    Authors:
    Mieczysław Mastyło, Bartosz Staniów
    Academic press:
    Nagoya Mathematical Journal (rok: 2024, tom: 253 (2024), strony: 216–240), Wydawca: Foundation Nagoya Mathematical Journal
    Status:
    Published
    DOI:
    10.1017/nmj.2023.24 - link to the publication
  16. Lipschitz (q, p)-Summing Maps from C(K )-Spaces to Metric Spaces
    Authors:
    Mieczysław Mastyło and E. A. Sánchez-Pérez
    Academic press:
    Journal of Geometric Analysis (rok: 2023, tom: Volume 33, issue 4, April 2023, strony: Article: 113), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-022-01159-9 - link to the publication
  17. Variants of a multiplier theorem of Kislyakov
    Authors:
    Andreas Defant, Mieczysław Mastyło, Antonio Perez Hernandez
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2024, tom: Volume 23 - Issue 1 - January 2024, strony: 347–377), Wydawca: The Institute of Mathematics of Jussieu
    Status:
    Published
    DOI:
    10.1017/S1474748022000391 - link to the publication
  18. Interpolation estimates of the measure of noncompactness for multilinear mappings
    Authors:
    Mieczysław Mastyło and Eduardo B. Silva
    Academic press:
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE (rok: 2023, tom: VOL. XXIV, ISSUE 2 (2023), strony: 793-819), Wydawca: SCUOLA NORMALE SUPERIORE
    Status:
    Published
    DOI:
    10.2422/2036-2145.202010_035 - link to the publication
  19. Minimal projections onto spaces of polynomials on real euclidean spheres.
    Authors:
    Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło and Santiago Muro
    Academic press:
    Journal of the London Mathematical Society (drugi wybór) (rok: 2026, tom: Volume 113, Issue 1, strony: e70429), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.70429 - link to the publication
  20. A CHRIST-KISELEV THEOREM FOR MAXIMAL OPERATORS IN QUASI-BANACH LATTICES
    Authors:
    Mieczysław Mastyło, Gord Sinnamon
    Academic press:
    Revista Matemática Complutense (rok: 2025, tom: Volume 38, Issue 3, strony: 783–811), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13163-025-00517-9 - link to the publication
  21. On weakly compact multilinear operators and interpolation
    Authors:
    Antonio Manzano, Mieczyslaw Mastylo
    Academic press:
    Advances in Operator Theory (rok: 2025, tom: Volume 10, Issue 1, strony: Article: 20), Wydawca: Birkhäuser
    Status:
    Published
    DOI:
    10.1007/s43036-024-00410-0 - link to the publication
  22. Asymptotic insights for Projection, Gordon-Lewis and Sidon Constants in Boolean Cube Function Spaces
    Authors:
    Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło and Santiago Muro
    Academic press:
    International Mathematics Research Notices (rok: 2024, tom: Volume 2024, Issue 15, August 2024, strony: 11239–11270), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnae083 - link to the publication
  23. Pointwise convergence of multiple Fourier series over polytopes
    Authors:
    Mieczyslaw Mastylo and Luis Rodriguez-Piazza
    Academic press:
    Transactions of the American Mathematical Society (rok: 2025, tom: Volume 378, Number 3, strony: 2113 - 2128), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/9357 - link to the publication
  24. Projection constants for spaces of Dirichlet polynomials
    Authors:
    Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło and Santiago Muro
    Academic press:
    Mathematische Annalen (rok: 2024, tom: Volume 390, Issue 2, October 2024, strony: 1885–1917), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02781-w - link to the publication
  25. Domination theorem for operator classes generated by Orlicz spaces
    Authors:
    D. L. Fernandez, M. Mastyło, J. Santos and E. B. Silva
    Academic press:
    Mathematische Nachrichten (rok: 2025, tom: Volume 298, Issue 11, strony: 3576-3598), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.70060 - link to the publication
  26. Pietsch's variants of s-numbers for multilinear operators
    Authors:
    Dicesar Fernandez, Mieczysław Mastyło and Eduardo Silva
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2021, tom: 115 (2021), no. 4, strony: Paper No. 189), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-021-01123-2 - link to the publication
  27. Nikishin's theorem and factorization through Marcinkiewicz spaces
    Authors:
    Mieczysław Mastyło, Enrique Alfonso Sánchez Pérez
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2024, tom: Volume 152, Number 10, strony: 4409–4420), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16888 - link to the publication
  28. Local Constants and Bohr's Phenomenon for Banach Spaces of Analytic Polynomials
    Authors:
    Andreas Defant, Daniel Galicer, Martin Mansilla, Mieczysław Mastyło and Santiago Muro
    Status:
    Accepted for publication

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