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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Functional calculi and their applications

2014/15/D/ST1/00405

Keywords:

functional calculi maximal functions multilinear multipliers Riesz transforms

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_7: Lie groups, Lie algebras
  • ST1_8: Analysis

Panel:

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

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Błażej Wróbel 

Number of co-investigators in the project: 2

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

Amount awarded: 130 150 PLN

Project start date (Y-m-d): 2015-07-22

Project end date (Y-m-d): 2019-04-21

Project duration:: 45 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Zestaw komputerowy (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. Dimension-free Lp estimates for vectors of Riesz transforms associated with orthogonal expansions
    Authors:
    Błażej Wróbel
    Academic press:
    Analysis & PDE (rok: 2018, tom: 11, strony: 745-773), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2018.11.745 - link to the publication
  2. On dimension-free variational inequalities for averaging operators in Rd
    Authors:
    Jean Bourgain, Mariusz Mirek, Elias Stein, Błażej Wróbel
    Academic press:
    Geometric and Functional Analysis (GAFA) (rok: 2018, tom: 28, strony: 58-99), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00039-018-0433-3 - link to the publication
  3. Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in Zd
    Authors:
    Jean Bourgain, Mariusz Mirek, Elias Stein, Błażej Wróbel
    Academic press:
    American Journal of Mathematics (rok: 2019, tom: 141, strony: 857-905), Wydawca: John Hopkins University Press
    Status:
    Published
    DOI:
    10.1353/ajm.2019.0023 - link to the publication
  4. $L^p$ spherical multipliers on homogeneous trees
    Authors:
    Dario Celotto, Stefano Meda, Błażej Wróbel
    Academic press:
    Studia Mathematica (rok: 2019, tom: 247, strony: 175-190), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/sm170626-23-2 - link to the publication
  5. Approaching bilinear multipliers via a functional calculus
    Authors:
    Błażej Wróbel
    Academic press:
    Journal of Geometric Analysis (rok: 2018, tom: 28, strony: 3048-3080), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-017-9945-6 - link to the publication
  6. Joint Spectral Multipliers for Mixed Systems of Operators
    Authors:
    Błażej Wróbel
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2017, tom: 23, strony: 245–287), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-016-9469-7 - link to the publication
  7. Spectral multipliers for functions of fixed K-type on Lp(SL(2,R))
    Authors:
    Fulvio Ricci, Błażej Wróbel
    Academic press:
    Mathematische Nachrichten (rok: 2020, tom: 293, strony: 554-584), Wydawca: © WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
    Status:
    Published
    DOI:
    10.1002/mana.201800412 - link to the publication
  8. Strong continuity on Hardy spaces
    Authors:
    Jacek Dziubański, Błażej Wróbel
    Academic press:
    Journal of Approximation Theory (rok: 2016, tom: 211, strony: 85-93), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2016.07.003 - link to the publication
  9. On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
    Authors:
    Błażej Wróbel
    Academic press:
    Mathematische Zeitschrift (rok: 2017, tom: 287, strony: 143-153), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-016-1820-9 - link to the publication

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