Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Operator theory and its applications

2015/17/B/ST1/00064

Keywords:

Banach function lattices Banach operator ideals Bohr radius Boolean functions entropy numbers entropy moduli Hardy spaces factorization Fredholm operators Grothendieck numbers interpolation spaces interpolation functor measure of non-compactness multilinear operators multilinear Hilbert transform Morrey spaces PDE singular operators s-numbers singular operators summing operators

Descriptors:

  • ST1_8: Analysis
  • ST1_9: Operator algebras and functional analysis

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: 3

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 228 520 PLN

Project start date (Y-m-d): 2016-01-21

Project end date (Y-m-d): 2019-01-20

Project duration:: 36 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.

Equipment purchased [PL]

  1. Laptop (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (31)
  1. On the Fourier spectrum of functionson on Boolean cubes
    Authors:
    Andreas Defant, Mieczysław Mastyło, Antonio Perez
    Academic press:
    Mathematische Annalen (rok: 2019, tom: 374, no. 1-2, strony: 653-680), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-018-1756-y - link to the publication
  2. Carleson measures on circular domain and canonical embeddings of Hardy spaces into function lattices
    Authors:
    Paweł Mleczko, Michał Rzeczkowski
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2019, tom: 13, no. 4, strony: 864-883), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2019-0013 - link to the publication
  3. Interpolation of the measure of non-compactness of bilinear operators
    Authors:
    Mieczysław Mastyło, Eduardo B. Silva
    Academic press:
    Transactions of the Amarican Mathematical Society (rok: 2018, tom: 370, no.12, strony: 8979-8997), Wydawca: Amarican Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7501 - link to the publication
  4. Kahane-Salem-Zygmund polynomial inequalities via Rademacher processes
    Authors:
    Mieczysław Mastyło, Radosław Szwedek
    Academic press:
    Journal of Functional Analysis (rok: 2017, tom: 272, no. 11, strony: 4483–4512), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2017.01.019 - link to the publication
  5. The measure of noncompactness of multilinear operators
    Authors:
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi
    Academic press:
    Nonlinear Analysis - Theory, Methods & Applications (rok: 2019, tom: 188, strony: 70-79), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2019.05.011 - link to the publication
  6. Translation invariant maps on function spaces over locally compact groups
    Authors:
    Andreas Defant, Mieczysław Mastyło, Enrique A. Sanchez-Perez, Ingo Steinwart
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: 470, no. 2, strony: 795–820), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.033 - link to the publication
  7. Factorization theorems for some new classes of multilinear operators
    Authors:
    Mieczysław Mastyło, Enrique A. Sanchez Perez
    Academic press:
    Asian Journal of Mathematics (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: International Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. Stability of Fredholm properties on interpolation Banach spaces
    Authors:
    Irina Asekritova, Natan Kruglyak, Mieczysław Mastyło
    Academic press:
    Journal of Approximation Theory (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. A note on complex symmetric composition operators on the Bergman space A2(D)
    Authors:
    Ted Eklund, Mikael Lindström, Paweł Mleczko
    Academic press:
    Functiones et Approximatio, Commentarii Mathematici (rok: 2018, tom: 59, no. 1, strony: 129-139), Wydawca: Faculty of Mathematics and Computer Science of Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1726 - link to the publication
  10. Complex interpolation and Calderòn-Mityagin couples of Morrey spaces
    Authors:
    Mieczysław Mastyło, Yoshihiro Sawano
    Academic press:
    Analysis & PDE (rok: 2019, tom: 12, no. 7, strony: 1711-1740), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2019.12.1711 - link to the publication
  11. Interpolation of Hardy spaces of Dirichlet series
    Authors:
    Frederic Bayart, Mieczysław Mastyło
    Academic press:
    Journal of Functional Analysis (rok: 2019, tom: 277, no. 3, strony: 786-805), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2019.03.016 - link to the publication
  12. Interpolation of s-numbers and entropy numbers of operators
    Authors:
    Mieczysław Mastyło, Radosław Szwedek
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2019, tom: 13, no. 2, strony: 427-448), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2018-0046 - link to the publication
  13. Multilinear integral operators in weighted grand Lebesgue spaces
    Authors:
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2016, tom: 19, no. 3, strony: 696–724), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2016-0037 - link to the publication
  14. Vector Measures with Values in l∞(Γ) and Interpolation of Banach Lattices
    Authors:
    Enrique A. Sánchez Pérez, Radosław Szwedek
    Academic press:
    Journal of Convex Analysis (rok: 2018, tom: 25, No. 1, strony: 75-92), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    brak - link to the publication
  15. Applications of interpolation methods and Morrey spaces to elliptic PDEs
    Authors:
    Mieczysław Mastyło, Yoshihiro Sawano
    Academic press:
    Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: Scuola Normale Superiore
    Status:
    Accepted for publication
    DOI:
    10.2422/2036-2145.201807_001 - link to the publication
  16. Calderón-Zygmund singular operators in extrapolation spaces
    Authors:
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi
    Academic press:
    Analysis & PDE (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: Mathematical Sciences Publishers
    Status:
    Submitted
    DOI:
    brak - link to the publication
  17. Grothendieck numbers and the surjective local entropy moduli of operators
    Authors:
    Mieczysław Mastyło
    Academic press:
    Communications on Pure and Applied Mathematics (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  18. Bohr's phenomenon for functions on the Boolean cube
    Authors:
    Andreas Defant, Mieczysław Mastyło, Antonio Perez
    Academic press:
    Journal of Functional Analysis (rok: 2018, tom: 275, no.11, strony: 3115-3147), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2018.05.009 - link to the publication
  19. Compactness criteria for fractional integral operators
    Authors:
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2019, tom: 22, no. 5, strony: 1269-1283), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2019-0067 - link to the publication
  20. On the boundedness of multilinear fractional integral operators
    Authors:
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi
    Academic press:
    The Journal of Geometric Analysis (rok: 2020, tom: 30, no. 1, strony: 667-679), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-019-00159-6 - link to the publication
  21. Pietsch-Maurey-Rosenthal factorization of summing multilinear operators
    Authors:
    Mieczysław Mastyło, Enrique A. Sanchez Perez
    Academic press:
    Functiones et Approximatio, Commentarii Mathematici (rok: 2018, tom: 59, no. 1, strony: 57-76), Wydawca: Faculty of Mathematics and Computer Science of Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1683 - link to the publication
  22. Ideals of multilinear mappings via Orlicz spaces and translation invariant operators
    Authors:
    Mieczysław Mastyło, Enrique A. Sánchez Pérez
    Academic press:
    Mathematische Nachrichten (rok: 2020, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  23. Interpolation of compact bilinear operators
    Authors:
    Mieczysław Mastyło, Eduardo B. Silva
    Academic press:
    Bulletin of Mathematical Sciences (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: World Scientific Publishing
    Status:
    Accepted for publication
    DOI:
    10.1142/S1664360720500022 - link to the publication
  24. On Bohr radii of finite dimensional complex Banach spaces
    Authors:
    Andreas Defant, Mieczysław Mastyło, Sunke Schlüters
    Academic press:
    Functiones et Approximatio, Commentarii Mathematici (rok: 2018, tom: 59, no. 2, strony: 251-268), Wydawca: Faculty of Mathematics and Computer Science of Adam Mickiewicz University
    Status:
    Published
    DOI:
    10.7169/facm/1728 - link to the publication
  25. Spectra of weighted composition operators on abstract Hardy spaces
    Authors:
    Ted Eklund, Mikael Lindström, Paweł Mleczko, Michał Rzeczkowski
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2019, tom: 113, no. 1, strony: 267-279), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-017-0474-8 - link to the publication
  26. Strong factorizations of operators with applications to Fourier and Cesàro transforms
    Authors:
    Olvido Delgado, Mieczysław Mastyło, Enrique A. Sánchez Pérez
    Academic press:
    Michigan Mathematical Journal (rok: 2019, tom: 68, no. 1, strony: 167 - 192), Wydawca: Department of Mathematics at The University of Michigan
    Status:
    Published
    DOI:
    10.1307/mmj/1548817532 - link to the publication
  27. The Bishop-Phelps-Bollobás and approximate hyperplane series properties.
    Authors:
    Maria D. Acosta, Mieczyslaw Mastylo, Maryam Soleimani-Mourchehkhorti
    Academic press:
    Journal of Functional Analysis (rok: 2018, tom: 274, no. 9, strony: 2673–2699), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2017.09.008 - link to the publication
  28. Complex symmetric operators and interpolation
    Authors:
    Paweł Mleczko, Radosław Szwedek
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 462, strony: 210-215), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.02.001 - link to the publication
  29. An operator ideal generated by Orlicz spaces
    Authors:
    Mieczysław Mastyło
    Academic press:
    Mathematische Annalen (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1142/S1664360720500022 - link to the publication
  30. Singular integral operators in some variable exponent Lebesgue spaces
    Authors:
    Vakhtang Kokilashvili, Mieczysław Mastyło, Alexander Meskhi
    Academic press:
    Georgian Mathematical Journal (rok: 2019, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: De Gruyter
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  31. A unified approach to compatibility theorems on invertible interpolated operators
    Authors:
    Irina Asekritova, Natan Kruglyak, Mieczysław Mastyło
    Academic press:
    Advances in Mathematics (rok: 2018, tom: Nie dotyczy, strony: Nie dotyczy), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication

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