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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Factorization and interpolation of operators with applications to function space theory and Fourier analysis.

2011/01/B/ST1/06243

Keywords:

factorization theorems interpolation and extrapolation spaces interpolation functors p-summing operators multilinear operators eigenvalues of operators Hardy spaces solid hulls multipliers Banach lattices Daugavet property Fourier series.

Descriptors:

  • ST1_8: 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, 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 1 - announced on 2011-03-15

Amount awarded: 125 700 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-11-30

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Monitor (2 500 PLN)
  2. Urządzenie wielofunkcyjne (drukarka, skaner, ksero) (1 000 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  1. Carleson measures and embeddings of abstract Hardy spaces into function lattices
    Authors:
    M. Mastyło, L. Rodríguez-Piazza
    Academic press:
    Journal of Functional Analysis (rok: 2015, tom: 268 nr 4, strony: 902–928), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2014.11.004 - link to the publication
  2. Eigenvalues of Hille-Tamarkin operators and geometry of Banach function spaces
    Authors:
    T. Kühn, M. Mastyło
    Academic press:
    Studia Mathematica (rok: 2011, tom: 207 nr 3, strony: 275-296), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm207-3-4 - link to the publication
  3. Factorization of (q, p)-summing polynomials through Lorentz spaces
    Authors:
    M. Mastyło, P. Rueda, E. A. Sánchez Pérez
    Academic press:
    Journal of the European Mathematical Society (rok: 2014, ), Wydawca: European Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Interpolative construction and factorization of operators
    Authors:
    M. Mastyło, R. Szwedek
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2013, tom: 401 nr 1, strony: 198-208), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2012.11.036 - link to the publication
  5. On extrapolation of rearrangement invariant spaces
    Authors:
    S. V. Astashkin, K. V. Lykov, M. Mastyło
    Academic press:
    Nonlinear Analysis, Theory, Methods & Applications (rok: 2012, tom: 75 nr 5, strony: 2735-2749), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2011.11.016 - link to the publication
  6. The Daugavet property in rearrangement invariant spaces
    Authors:
    M. D. Acosta, A. Kamińska, M. Mastyło
    Academic press:
    Transactions of the American Mathematical Society (rok: 2015, tom: 367 nr 6, strony: 4061–4078), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9947-2014-06166-7 - link to the publication
  7. Domination and factorization of multilinear operators
    Authors:
    M. Mastyło, E. A. Sánchez Pérez
    Academic press:
    Journal of Convex Analysis (rok: 2013, tom: 20 nr 4, strony: 999-1012), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    nie - link to the publication
  8. Interpolation of multilinear operators acting between quasi-Banach spaces
    Authors:
    L. Grafakos, M. Mastyło, R. Szwedek
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2014, tom: 142 nr 7, strony: 2507-2516), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2014-12083-1 - link to the publication
  9. The Hardy-Littlewood maximal type operators between Banach function spaces
    Authors:
    M. Mastyło, C. Perez
    Academic press:
    Indiana University Mathematics Journal (rok: 2012, tom: 61 nr 3, strony: 883-900), Wydawca: Indiana University. Dept. of Mathematics, Indiana University Mathematics Journal
    Status:
    Published
    DOI:
    10.1512/iumj.2012.61.4708 - link to the publication
  10. Factorization of operators through Orlicz spaces
    Authors:
    M. Mastyło, E. A. Sánchez Pérez
    Academic press:
    Bulletin of the Malaysian Mathematical Sciences Society (rok: 2015, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s40840-015-0158-5 - link to the publication
  11. Quasi s-numbers and measures of non-compactness of multilinear operators
    Authors:
    D. L. Fernandez, M. Mastyło, E. B. da Silva
    Academic press:
    Annales Academiæ Scientiarum Fennicæ Mathematica (rok: 2013, tom: 38, strony: 805-823), Wydawca: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2013.3842 - link to the publication
  12. Convergence almost everywhere of multiple Fourier series over cubes
    Authors:
    M. Mastyło, L. Rodríguez-Piazza
    Academic press:
    Annals of Mathematics (rok: 2014, tom: brak, strony: brak), Wydawca: Princeton University and the Institute for Advanced Study
    Status:
    Submitted
    DOI:
    brak - link to the publication

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