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Information on the principal investigator and host institution

Information of the project and the call

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Maximal functions and singular integral operators in continuous and discrete settings

2012/05/D/ST1/00053

Keywords:

Maximal functions singular integrals Hardy-Littlewood circle method ergodic theorems variational norms time-frequency analysis

Descriptors:

  • 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 Mariusz Mirek 

Number of co-investigators in the project: 2

Call: SONATA 3 - announced on 2012-03-15

Amount awarded: 115 700 PLN

Project start date (Y-m-d): 2013-02-11

Project end date (Y-m-d): 2016-02-10

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

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (7)
  1. A local T(b) theorem for perfect multilinear Calderón-Zygmund operators
    Authors:
    Mariusz Mirek, Christoph Thiele
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2017, tom: 114, strony: 35-59), Wydawca: John Wiley & Sons
    Status:
    Published
    DOI:
    10.1112/plms.12000 - link to the publication
  2. Cotlar's ergodic theorem along the prime numbers
    Authors:
    Mariusz Mirek i Bartosz Trojan
    Academic press:
    Journal of Fourier Analysis and Applications (rok: 2015, tom: 21, strony: 822-848), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00041-015-9388-z - link to the publication
  3. Discrete maximal functions in higher dimensions and applications to ergodic theory
    Authors:
    Mariusz Mirek i Bartosz Trojan
    Academic press:
    American Journal of Mathematics (rok: 2016, tom: 137, strony: 1495-1532), Wydawca: Johns Hopkins University Press
    Status:
    Published
    DOI:
    10.1353/ajm.2016.0045 - link to the publication
  4. Weak type (1, 1) inequalities for discrete rough maximal functions.
    Authors:
    Mariusz Mirek
    Academic press:
    Journal d'Analyse Mathematique (rok: 2015, tom: 127, strony: 247-281), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-015-0030-4 - link to the publication
  5. Roth's Theorem in the Piatetski--Shapiro primes
    Authors:
    Mariusz Mirek
    Academic press:
    Revista Matematica Iberoamericana (rok: 2015, tom: 31, strony: 617-656), Wydawca: European Mathematical Society Publishing House
    Status:
    Published
    DOI:
    10.4171/RMI/848 - link to the publication
  6. Variational estimates for averages and truncated singular integrals along the prime numbers
    Authors:
    Mariusz Mirek, Bartosz Trojan i Pavel Zorin-Kranich
    Academic press:
    Transactions of the American Mathematical Society (rok: 2017, tom: 369, strony: 5403-5423), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/6822 - link to the publication
  7. lp(Z) - boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems
    Authors:
    Mariusz Mirek
    Academic press:
    Matchematische Zeitschrift (rok: 2015, tom: 279, strony: 27-59), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-014-1356-9 - link to the publication

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