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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Compactness in function spaces and its applications to analysis of properties of differential operators

2014/15/B/ST1/00164

Keywords:

compactness concentrated compactness wavelet decompositions profile decompositions entopy numbers and s-numbers of compact operators spectral properties of differential operators negativ spectrum eigenvalues of elliptic operators Sobolev spaces Besov spaces Triebel-Lizorkin spaces Morrey spaces Besov-Morrey spaces Triebel-Lizorkin-Morrey spaces

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_8: Analysis
  • ST1_11: Partial differential equations

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 Skrzypczak 

Number of co-investigators in the project: 1

Call: OPUS 8 - announced on 2014-09-15

Amount awarded: 129 410 PLN

Project start date (Y-m-d): 2015-07-21

Project end date (Y-m-d): 2018-07-20

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

Project status: Project settled

Equipment purchased [PL]

  1. laptop(ultrabook) (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Book publications / chapters in book publications (1)
  1. Morrey Sequence Spaces: Pitt's Theorem and compact embeddings
    Authors:
    Doorthee D. Haroske, Leszek Skrzypczak
    Academic press:
    Constructive Approximation , Wydawca: Springer Verlag
    Status:
    Accepted for publication
    DOI:
    10.1007/s00365-019-09460-7 - link to the publication
  2. On Caffarelli-Kohn-Nirenberg Inequalities for Block-Radial Functions
    Authors:
    Leszek Skrzypczak, Cyril Tintarev
    Academic press:
    Potential Analysis (rok: 2016, tom: 45, strony: 65-81), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s11118-016-9535-4 - link to the publication
  3. Some properties of block-radial functions and Schroedinger type operators with block-radial potentials
    Authors:
    Alicja Dota, Leszek Skrzypczak
    Academic press:
    Journal of Complexity (rok: 2019, tom: 53, strony: 45313), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.005 - link to the publication
  4. Pointwise Estimates for Block-Radial Functions of Sobolev Classes
    Authors:
    Leszek Skrzypczak, Cyril Tintarev
    Academic press:
    Journal of Fourier Analysis ans Applications (rok: 2019, tom: 25, strony: 321-344), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00041-018-9593-7 - link to the publication
  5. Unboundedness properties of Smoothness Morrey spaces of regular distributions on domain
    Authors:
    Dorothee D. Haroske, Susana Moura, Cornelia Schneider, Leszek Skrzypczak
    Academic press:
    Science China Mathematics (rok: 2017, tom: 60, strony: 2349-2376), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s11425-017-9113-9 - link to the publication
  6. Embeddings of weighted Morrey spaces
    Authors:
    Dorothee D. Haroske, Leszek Skrzypczak
    Academic press:
    Mathematische Nachrichten (rok: 2017, tom: 290, strony: 1066-1086), Wydawca: Wiley- VCH
    Status:
    Published
    DOI:
    10.1002/mana.201600165 - link to the publication
  7. Morrey spaces on domains: Different approaches and growth envelopes
    Authors:
    Dorothee D. Haroske, Cornelia Schneider, Leszek Skrzypczak
    Academic press:
    Journal of Geometrical Analysis (rok: 2018, tom: 28, strony: 817-841), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s12220-017-9843-y - link to the publication
  8. Smoothness Morrey Spaces of regular distributions, and some unboundedness property
    Authors:
    Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak,
    Academic press:
    Nonlinear Analysis, Theory methods and Applications (rok: 2016, tom: 139, strony: 218-244), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2016.03.005 - link to the publication
  1. Compact embeddings of weighted smoothness spaces of Morrey type: an example
    Authors:
    Dorothee D. Haroske, Leszek Skrzypczak
    Book:
    Functional Analysis, Harmonic Analysis and Image Processing: A collection of papers in honor of Björn Jawerth (rok: 2017, tom: 693, strony: 235-253), Wydawca: American Mathematical Society (Contemporary Mathematics series)
    Status:
    Published

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