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

2011/01/B/ST1/06243

Keywords

Descriptors

  • ST1_8: Analiza

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

Voivodeship: 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
2011-12-01
Project end date
2014-11-30
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

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

Information in the final report

Publication in academic press/journals (10)

  1. Interpolation of multilinear operators acting between quasi-Banach spaces

    Authors:
    L. Grafakos, M. Mastyło, R. Szwedek
    Academic press:
    Proceedings of the American Mathematical Society (year: 2014, volume: 142 nr 7, pages: 2507-2516), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2014-12083-1 – link to the publication

  2. The Daugavet property in rearrangement invariant spaces

    Authors:
    M. D. Acosta, A. Kamińska, M. Mastyło
    Academic press:
    Transactions of the American Mathematical Society (year: 2015, volume: 367 nr 6, pages: 4061–4078), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9947-2014-06166-7 – link to the publication

  3. Interpolative construction and factorization of operators

    Authors:
    M. Mastyło, R. Szwedek
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2013, volume: 401 nr 1, pages: 198-208), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2012.11.036 – link to the publication

  4. 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 (year: 2013, volume: 38, pages: 805-823), Publisher: Academia Scientiarum Fennica
    Status:
    Published
    DOI:
    10.5186/aasfm.2013.3842 – link to the publication

  5. Domination and factorization of multilinear operators

    Authors:
    M. Mastyło, E. A. Sánchez Pérez
    Academic press:
    Journal of Convex Analysis (year: 2013, volume: 20 nr 4, pages: 999-1012), Publisher: Heldermann Verlag
    Status:
    Published

  6. Carleson measures and embeddings of abstract Hardy spaces into function lattices

    Authors:
    M. Mastyło, L. Rodríguez-Piazza
    Academic press:
    Journal of Functional Analysis (year: 2015, volume: 268 nr 4, pages: 902–928), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2014.11.004 – link to the publication

  7. The Hardy-Littlewood maximal type operators between Banach function spaces

    Authors:
    M. Mastyło, C. Perez
    Academic press:
    Indiana University Mathematics Journal (year: 2012, volume: 61 nr 3, pages: 883-900), Publisher: Indiana University. Dept. of Mathematics, Indiana University Mathematics Journal
    Status:
    Published
    DOI:
    10.1512/iumj.2012.61.4708 – link to the publication

  8. On extrapolation of rearrangement invariant spaces

    Authors:
    S. V. Astashkin, K. V. Lykov, M. Mastyło
    Academic press:
    Nonlinear Analysis, Theory, Methods & Applications (year: 2012, volume: 75 nr 5, pages: 2735-2749), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2011.11.016 – link to the publication

  9. Eigenvalues of Hille-Tamarkin operators and geometry of Banach function spaces

    Authors:
    T. Kühn, M. Mastyło
    Academic press:
    Studia Mathematica (year: 2011, volume: 207 nr 3, pages: 275-296), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm207-3-4 – link to the publication

  10. Factorization of operators through Orlicz spaces

    Authors:
    M. Mastyło, E. A. Sánchez Pérez
    Status:
    Accepted for publication

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