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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Multivariate polynomial inequalities via pluripotential theory, subanalytic geometry and Banach algebras

2013/11/B/ST1/03693

Keywords:

polynomial inequalities pluricomplex Green function Siciak extremal function o-minimal structures Banach algebras

Descriptors:

  • ST1_8: Analysis
  • ST1_9: Operator algebras and functional analysis
  • ST1_4: Algebraic and complex geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Rolniczy im. Hugona Kołłątaja w Krakowie, Wydział Inżynierii Środowiska i Geodezji

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Mirosław Baran 

Number of co-investigators in the project: 4

Call: OPUS 6 - announced on 2013-09-16

Amount awarded: 473 670 PLN

Project start date (Y-m-d): 2014-07-08

Project end date (Y-m-d): 2018-06-07

Project duration:: 47 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer stacjonarny (4 000 PLN)
  2. laptop (12 000 PLN)
  3. oprogramowanie: Windows7, Mathematica8, Winedt, Microsoft Office (6 383 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  • Articles in post-conference publications (1)
  1. Hölder continuity of the Green function, Markov-type inequality and a capacity related to HCP
    Authors:
    Mirosław Baran, Leokadia Bialas-Ciez
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2014, tom: 7, strony: 16-21), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2014-Special_Issue-4 - link to the publication
  2. On the behaviour of constants in some polynomial inequalities
    Authors:
    Mirosław Baran, Leokadia Białas-Cież
    Academic press:
    Annales Polonici Mathematici (rok: 2019, tom: 123, strony: 43-60), Wydawca: Instytut Matematyczny PAN, Warszawa
    Status:
    Published
    DOI:
    10.4064/ap180803-23-4 - link to the publication
  3. Optimal factors in Vladimir Markov's inequality in L_2 norm
    Authors:
    Mirosław Baran, Agnieszka Kowalska, Paweł Ozorka
    Academic press:
    Science, Technology and Innovation (rok: 2018, tom: 2(1), strony: 45302), Wydawca: Państwowa Wyższa Szkoła Zawodowa w Tarnowie
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Polynomial inequalities in Lp norms with generalized Jacobi weights
    Authors:
    Leokadia Białas-Cież, Grzegorz Sroka
    Academic press:
    Mathematical Inequalities & Applications (rok: 2019, tom: 22 (1), strony: 261-274), Wydawca: Element d.o.o, Zagreb
    Status:
    Published
    DOI:
    10.7153/mia-2019-22-20 - link to the publication
  5. Complete invariance and compactness of the filled Julia sets of polynomial maps in CN
    Authors:
    Marta Kosek
    Academic press:
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (rok: 2017, tom: 111(4), strony: 1223-1231), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s13398-016-0342-y - link to the publication
  6. Polynomial inequalities on certain algebraic hypersurfaces
    Authors:
    Leokadia Białas-Cież, Jean-Paul Calvi, Agnieszka Kowalska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 459 (2), strony: 822-838), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.11.010 - link to the publication
  7. Attractors of compactly generated semigroups of regular polynpmial mappings
    Authors:
    Azza Alghamdi, Maciej Klimek, Marta Kosek
    Academic press:
    Complexity (rok: 2018, tom: Volume 2018, strony: 45302), Wydawca: Hindawi, The Wiley Hindawi Partnership
    Status:
    Published
    DOI:
    10.1155/2018/5698021 - link to the publication
  8. Comments on 'On Hadamard powers of polynomials'
    Authors:
    Stanisław Białas, Leokadia Białas-Cież
    Academic press:
    Mathematics of Control, Signals, and Systems (rok: 2017, tom: 1,21944444444444, strony: 45301), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00498-017-0202-0 - link to the publication
  9. Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function
    Authors:
    Leokadia Bialas-Ciez, Raimondo Eggink
    Academic press:
    Journal of Approximation Theory (rok: 2016, tom: 207, strony: 46-59), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2016.02.011 - link to the publication
  10. A few facts concerning the outstanding Polish mathematician Franciszek Leja
    Authors:
    Marta Kosek
    Academic press:
    Czasopismo Techniczne, Nauki Podstawowe (rok: 2015, tom: 2-NP (20) 2015, strony: 219-234), Wydawca: Politechnika Krakowska
    Status:
    Published
    DOI:
    10.4467/2353737XCT.15.218.4423 - link to the publication
  11. Identities for a derivation operator and their applications
    Authors:
    Mirosław Baran, Agnieszka Kowalska, Beata Milówka, Paweł Ozorka
    Academic press:
    Dolomites Research Notes on Approximation (rok: 2015, tom: 8, strony: 102-110), Wydawca: Padova University Press
    Status:
    Published
    DOI:
    10.14658/pupj-drna-2015-Special_Issue-10 - link to the publication
  12. On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets
    Authors:
    Leokadia Białas-Cież, Marta Kosek, Małgorzata Stawiska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 464 (1), strony: 507-530), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.04.029 - link to the publication
  13. Convexity properties related to extremal functions
    Authors:
    Mirosław Baran, Leokadia Białas-Cież
    Academic press:
    arXiv , Wydawca: arXiv.org
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Spectral norms in spaces of polynomials
    Authors:
    Mirosław Baran, Agnieszka Kowalska
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Selected open problems in polynomial approximation and potential theory
    Authors:
    Mirosław Baran, Leokadia Białas-Cież, Raimondo Eggink, Agnieszka Kowalska, Bela Nagy, Rafał Pierzchała
    Conference:
    4th Dolomites Workshop on Constructive Approximation and Applications (rok: 2017, ), Wydawca: Padova University Press
    Data:
    konferencja 8-13 września 2016
    Status:
    Published
    DOI:
    link to the publication

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