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Mirek, Mariusz

  1. On discrete Hardy-Littlewood maximal functions over the balls in \mathbb Zd: dimension-free estimates
    2018/12/01 by Bourgain, Jean, Mirek, Mariusz, Wróbel, Elias M. Stein Błażej · 3 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
  2. Weak type (1, 1) inequalities for discrete rough maximal functions
    2013/05/02 by Mirek, Mariusz · 2 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  3. Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
    2022/09/03 by Mariusz Mirek, Mirek, Mariusz, Tomasz Z. Szarek +3 · 3 citations
    Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics
  4. Pointwise ergodic theorems for non-conventional bilinear polynomial averages
    2020/08/03 by Ben Krause, Mariusz Mirek, Krause, Ben +3 · 3 citations
    Mathematics · #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration
  5. On the Hardy--Littlewood maximal functions in high dimensions: Continuous and discrete perspective
    2018/12/01 by Bourgain, Jean, Mirek, Mariusz, Stein, Elias M. +1 · 2 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
  6. On a multi-parameter variant of the Bellow-Furstenberg problem
    2022/09/15 by Bourgain, Jean, Mirek, Mariusz, Stein, Elias M. +1 · 2 citations
    #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics
  7. Dimension-free estimates for the discrete spherical maximal functions
    2020/12/28 by Mariusz Mirek, Mirek, Mariusz, Tomasz Z. Szarek +3 · 2 citations
    Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Numerical methods in inverse problems
  8. The multilinear circle method and a question of Bergelson
    2024/11/14 by Dariusz Kosz, Mariusz Mirek, Kosz, Dariusz +5 · 4 citations
    Computer Science · Mathematics · #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematics and Applications #Matrix Theory and Algorithms #Number Theory (math.NT)
  9. Lp(Zd)-estimates for discrete operators of Radon type: Variational estimates
    2015/12/23 by Mirek, Mariusz, Stein, Elias M., Trojan, Bartosz · 1 citation
    #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics
  10. Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions
    2020/10/14 by Kosz, Dariusz, Mirek, Mariusz, Plewa, Paweł +1 · 1 citation
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  11. Some remarks on oscillation inequalities
    2021/10/04 by Mirek, Mariusz, Słomian, Wojciech, Szarek, Tomasz Z. · 1 citation
    #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics
  12. Polynomial averages and pointwise ergodic theorems on nilpotent groups
    2021/12/06 by Ionescu, Alexandru D., Magyar, Ákos, Mirek, Mariusz +1 · 1 citation
    #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics