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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Real analytic functions and differential operators

2013/10/A/ST1/00091

Keywords:

functional analysis spaces of real analytic functions linear (partial) differential operators with variable coefficients convolution operators surjectivity semigroups of operators linear dynamics spectral properties

Descriptors:

  • ST1_9:
  • ST1_11:

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. Leszek Stanisław Skrzypczak 

Number of co-investigators in the project: 12

Call: MAESTRO 5 - announced on 2013-06-14

Amount awarded: 2 045 059 PLN

Project start date (Y-m-d): 2014-05-14

Project end date (Y-m-d): 2021-12-13

Project duration:: 91 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. monitor.
  2. notebook (3 000 PLN)
  3. komputer z dużym monitorem (2 szt.) (9 000 PLN)
  4. komputer z dużym monitorem (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (39)
  • Book publications / chapters in book publications (2)
  1. THE HADAMARD MULTIPLICATION THEOREM IN SEVERAL COMPLEX VARIABLES
    Authors:
    S. Zając
    Academic press:
    Complex Variables and Elliptic Equations (rok: 2017, tom: 62, strony: 45683), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/17476933.2016.1197918 - link to the publication
  2. THE NONCOMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE
    Authors:
    K. Piszczek
    Academic press:
    Glasgow Mathematical Journal (rok: 2017, tom: 59, strony: 437-443), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089516000264 - link to the publication
  3. A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions
    Authors:
    J.Bonet, P.Domański
    Academic press:
    Complex Analysis and Operator Theory (rok: 2017, tom: 11, strony: 161-174), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11785-016-0589-5 - link to the publication
  4. Compact embeddings in Besov-type and Triebel-Lizorkin-type Spaces on bounded domains
    Authors:
    Helena F. Goncalves, Dorothee D. Haroske, Leszek Skrzypczak
    Academic press:
    Revista Matematica Complutense (rok: 2021, tom: 34, strony: 761-795), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s13163-020-00365-9 - link to the publication
  5. Dynamical properties of weighted translation operators on the Schwartz space S(R)
    Authors:
    Michał Goliński, Adam Przestacki
    Academic press:
    Revista Matematica Complutense (rok: 2020, tom: 33, strony: 103-124), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1007/s13163-019-00303-4 - link to the publication
  6. Gromov hyperbolicity of the Kobayashi metric on C-convex domains
    Authors:
    Nikolai Nikolov, Maria Trybuła
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 468, strony: 1164-1178), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.09.005 - link to the publication
  7. Surjectivity of Hadamard type operators on spaces of smooth functions
    Authors:
    P.Domański, M.Langenbruch
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2019, tom: 113, strony: 1625-1676), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s13398-018-0560-6 - link to the publication
  8. Estimates for the Squeezing Function Near Strictly Pseudoconvex Boundary Points with Applications
    Authors:
    Nikolai Nikolov, Maria Trybuła
    Academic press:
    The Journal of Geometric Analysis (rok: 2020, tom: 30, strony: 1359-1365), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s12220-019-00348-3 - link to the publication
  9. On compact subsets of Sobolev spaces on manifolds
    Authors:
    Leszek Skrzypczak, Cyril Tintarev
    Academic press:
    Transactions Amer.Math. Soc. (rok: 2021, tom: 374(5), strony: 3761-3777), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8322 - link to the publication
  10. Hadamard multipliers on spaces of holomorphic functions
    Authors:
    Maria Trybuła
    Academic press:
    Integral Equations and Operator Theory (rok: 2017, tom: 88, strony: 249-268), Wydawca: Springer
    Status:
    Published
  11. Toeplitz operators on the space of real analytic functions: The Fredholm property
    Authors:
    P. Domański, M. Jasiczak
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2018, tom: 12, strony: 31-67), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2017-0022 - link to the publication
  12. Multiplier projections on spaces of real analytic functions in several variables
    Authors:
    P. Domański, M. Langenbruch
    Academic press:
    Complex Variables and Elliptic Equations (rok: 2017, tom: 62, strony: 241-268), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/17476933.2016.1218854 - link to the publication
  13. Self-derivations on the noncommutative Schwartz spaces
    Authors:
    K.Piszczek
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas. RACSAM (rok: 2017, tom: 111, strony: 1117-1127), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-016-0350-y - link to the publication
  14. Euler type partial differential operators on real analytic functions
    Authors:
    P. Domański, M. Langenbruch
    Academic press:
    J. Mathematical Analysis and Applications (rok: 2016, tom: 443, strony: 652-674), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.05.018 - link to the publication
  15. THE MULTIPLIER ALGEBRA OF THE NONCOMMUTATIVE SCHWARTZ SPACE
    Authors:
    T. Ciaś, K. Piszczek
    Academic press:
    Banach Journal of Mathematical Analysis (rok: 2017, tom: 11, strony: 615-635), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/17358787-2017-0007 - link to the publication
  16. Some embeddings of Morrey spaces with critical smoothness
    Authors:
    Dorothee D.Haroske, Susana Moura, Leszek Skrzypczak
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2020, tom: 26, strony: 45688), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00041-020-09758-2 - link to the publication
  17. Topological amenability and Köthe co‑echelon algebras
    Authors:
    Alexei Yu. Pirkovskii, Krzysztof Piszczek
    Academic press:
    Banach J. Math. Anal. (rok: 2022, tom: 16, strony: 45681), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s43037-021-00163-5 - link to the publication
  18. Frequent hypercyclicity of weighted composition operators on the space of smooth functions
    Authors:
    Krzysztof Piszczek and Adam Przestacki
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas (rok: 2021, tom: 115, strony: 11pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13398-020-00995-0 - link to the publication
  19. Contractible Koethe co-echelon algebras
    Authors:
    Krzysztof Piszczek
    Academic press:
    Quaest.Math. (rok: 2020, tom: 43, strony: 493-505), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.2989/16073606.2019.1579765 - link to the publication
  20. GROTHENDIECK'S INEQUALITY IN THE NONCOMMUTATIVE SCHWARTZ SPACE
    Authors:
    R. H. Levene, K. Piszczek
    Academic press:
    Studia Mathematica (rok: 2016, tom: 234, strony: 185-194), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm8552-6-2016 - link to the publication
  21. Semigroups of Hadamard multipliers on the space of real analytic functions
    Authors:
    A. Golińska
    Academic press:
    Annales Polonici Mathematici (rok: 2018, tom: 121, strony: 217-229), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap180425-7-9 - link to the publication
  22. Surjectivity of Euler type differential operators on spaces of smooth functions
    Authors:
    P.Domański, M.Langenbruch
    Academic press:
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2019, tom: 372, strony: 6017-6086), Wydawca: AMERICAN MATHEMATICAL SOCIETY
    Status:
    Published
    DOI:
    10.1090/tran/7367 - link to the publication
  23. Amenable Koethe co-echelon algebras
    Authors:
    Krzysztof Piszczek
    Academic press:
    Math. Nachr. (rok: 2019, tom: 292, strony: 1333-1348), Wydawca: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/mana.201700429 - link to the publication
  24. Compact embeddings in Besov-type and Triebel-Lizorkin-type Spaces on bounded domains
    Authors:
    Helena F. Goncalves, Dorothee D. Haroske, Leszek Skrzypczak
    Academic press:
    Revista Matematica Complutense (), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s13163-020-00365-9 - link to the publication
  25. One-sided ideals of the non-commutative Schwartz space
    Authors:
    K. Piszczek
    Academic press:
    Monatshefte der Mathematik (rok: 2015, tom: 178, strony: 599-610), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00605-015-0758-z - link to the publication
  26. Hadamard type operators on spaces of real analytic functions in several variables
    Authors:
    P. Domański, M. Langenbruch, D. Vogt
    Academic press:
    Journal of Functional Analysis (rok: 2015, tom: 269, strony: 3868--3913), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.09.011 - link to the publication
  27. Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains
    Authors:
    Dorothee D.Haroske, Leszek Skrzypczak
    Academic press:
    Journal of Approximation Theory (rok: 2020, tom: 256, strony: 45681), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2020.105424 - link to the publication
  28. One-Sided Invertibility of Toeplitz Operators on the Space of Real Analytic Functions on the Real Line
    Authors:
    Michał Jasiczak, Anna Golińska
    Academic press:
    INTEGRAL EQUATIONS AND OPERATOR THEORY (rok: 2020, tom: 92, strony: 18629), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00020-020-2562-y - link to the publication
  29. Toeplitz operators on the spaces of all entire functions
    Authors:
    Michał Jaisczak
    Academic press:
    New York Journal of Mathematics (rok: 2020, tom: 26, strony: 756-789), Wydawca: SUNY, University at Albany
    Status:
    Published
    DOI:
    link to the publication
  30. Wavelet decomposition and embeddings of generalised Besov-Morrey spaces
    Authors:
    Dorothee D.Haroske, Susana Moura, Leszek Skrzypczak
    Academic press:
    Nonlinear Analysis (rok: 2022, tom: 214, strony: 45683), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2021.112590 - link to the publication
  31. Some embeddings of Morrey spaces with critical smoothness
    Authors:
    Dorothee D.Haroske, Susana Moura, Leszek Skrzypczak
    Academic press:
    Journal of Fourier Analysis and Applications , Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00041-020-09758-2 - link to the publication
  32. THE NONCOMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE
    Authors:
    K. Piszczek
    Academic press:
    Glasgow Mathematical Journal (), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089516000264 - link to the publication
  33. Non-powerbounded generators of strongly continuous semigroups
    Authors:
    A. Golińska, S-A. Wegner
    Academic press:
    J. Math.Anal.Appl. (rok: 2016, tom: 436, strony: 429-438), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.12.015 - link to the publication
  34. Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers
    Authors:
    P. Domański, M. Langenbruch
    Academic press:
    Advances in Mathematics (rok: 2016, tom: 293, strony: 782-855), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2016.02.028 - link to the publication
  35. The invariant subspace problem for the space of smooth functions on the real line
    Authors:
    Michał Goliński, Adam Przestacki
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2020, tom: 482, strony: 45678), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.123565 - link to the publication
  36. GENERAL APPROACH TO KOETHE ECHELON ALGEBRAS
    Authors:
    T.Ciaś, K.Piszczek
    Academic press:
    Mathematische Nachrichten (rok: 2021, tom: 294(3), strony: 486-517), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201900121 - link to the publication
  37. SEMI-FREDHOLM TOEPLITZ OPERATORS ON THE SPACE OF REAL ANALYTIC FUNCTIONS.
    Authors:
    Michał Jasiczak
    Academic press:
    Studia Mathematica (rok: 2020, tom: 252, strony: 213-250), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm170810-23-5 - link to the publication
  38. COBURN-SIMONENKO THEOREM AND INVERTIBILITY OF TOEPLITZ OPERATORS ON THE SPACE OF REAL ANALYTIC FUNCTIONS
    Authors:
    Michał Jasiczak
    Academic press:
    JOURNAL OF OPERATOR THEORY (rok: 2018, tom: 79, strony: 327-344), Wydawca: Institut of Mathematics of Romanian Academy
    Status:
    Published
    DOI:
    10.7900/jot.2017mar27.2144 - link to the publication
  39. Decomposition of self-adjoint mappings acting on the noncommutative Schwartz space
    Authors:
    Krzysztof Piszczek
    Status:
    Accepted for publication
  1. SOME QUANTITATIVE RESULT ON COMPACT EMBEDDINGS IN SMOOTHNESS MORREY SPACES ON BOUNDED DOMAINS; AN APPROACH VIA INTERPOLATION
    Authors:
    Dorothee D. Haroske, Leszek Skrzypczak
    Book:
    FUNCTION SPACES XII (rok: 2019, tom: BCP VOLUME 119, strony: 181-191), Wydawca: Instytu Matematyki PAN
    Status:
    Published
  2. Fréchet algebras with a dominating Hilbert algebra norm
    Authors:
    Tomasz Ciaś
    Book:
    Banach Algebras and Applications. Proceedings of the International Conference held at the University of Oulu, November 3-11, 2017 (rok: 2020, tom: -, strony: 12540), Wydawca: De Gruyter
    Status:
    Published

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