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: Algebry operatorowe i analiza funkcjonalna
- ST1_8: Analiza
- ST1_11: Równania różniczkowe cząstkowe
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
Principal investigator (from the host institution)
prof. Leszek Stanisław 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
- 2015-07-21
- Project end date
- 2018-07-20
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- laptop(ultrabook). Cost: 5 000 PLN
Information in the final report
Publication in academic press/journals (8)
-
Pointwise Estimates for Block-Radial Functions of Sobolev Classes
- Authors:
- Leszek Skrzypczak, Cyril Tintarev
- Academic press:
- Journal of Fourier Analysis ans Applications (year: 2019, volume: 25, pages: 321-344), Publisher: Springer Verlag
- Status:
- Published
- DOI:
- 10.1007/s00041-018-9593-7 – link to the publication
-
Some properties of block-radial functions and Schroedinger type operators with block-radial potentials
- Authors:
- Alicja Dota, Leszek Skrzypczak
- Academic press:
- Journal of Complexity (year: 2019, volume: 53, pages: 46044), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jco.2018.10.005 – link to the publication
-
On Caffarelli-Kohn-Nirenberg Inequalities for Block-Radial Functions
- Authors:
- Leszek Skrzypczak, Cyril Tintarev
- Academic press:
- Potential Analysis (year: 2016, volume: 45, pages: 65-81), Publisher: Springer Verlag
- Status:
- Published
- DOI:
- 10.1007/s11118-016-9535-4 – link to the publication
-
Embeddings of weighted Morrey spaces
- Authors:
- Dorothee D. Haroske, Leszek Skrzypczak
- Academic press:
- Mathematische Nachrichten (year: 2017, volume: 290, pages: 1066-1086), Publisher: Wiley- VCH
- Status:
- Published
- DOI:
- 10.1002/mana.201600165 – link to the publication
-
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 (year: 2017, volume: 60, pages: 2349-2376), Publisher: Springer Verlag
- Status:
- Published
- DOI:
- 10.1007/s11425-017-9113-9 – link to the publication
-
Morrey spaces on domains: Different approaches and growth envelopes
- Authors:
- Dorothee D. Haroske, Cornelia Schneider, Leszek Skrzypczak
- Academic press:
- Journal of Geometrical Analysis (year: 2018, volume: 28, pages: 817-841), Publisher: Springer Verlag
- Status:
- Published
- DOI:
- 10.1007/s12220-017-9843-y – link to the publication
-
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 (year: 2016, volume: 139, pages: 218-244), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.na.2016.03.005 – link to the publication
-
Morrey Sequence Spaces: Pitt's Theorem and compact embeddings
- Authors:
- Doorthee D. Haroske, Leszek Skrzypczak
- Status:
- Accepted for publication
Book publications / chapters in book publications (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 (year: 2017, volume: 693, pages: 235-253), Publisher: American Mathematical Society (Contemporary Mathematics series)
- Status:
- Published