Add to ORKGWe study the almost everywhere behavior of the maximal operator associated to moving averages in the plane, both for Lebesgue derivatives and ergodic averages. We show that the almost everywhere behavior of the maximal operator associated to a sequence of moving rectangles vi + Qi, with (0,0) ∈ Qi, depends both on the way the rectangles are moved by vi and the structure of the rectangles (Qi) as a partially ordered set
Let (X,µ) be a [sigma]-finite measure space and let [tau] be an ergodic invertible measure preservin...
ABSTRACT. In recent articles, it was proved that when mu is a finite, radial measure in Rn with a bo...
We examine the L^p norm dimensional asymptotics of spherical and ball maximal averaging operators on...
In this work, we study the almost sure convergence of the averages of certain classes of sequences a...
Abstract. We extend Christ’s estimate for the 2-plane transform to a maximal operator setting. 1
Let U1,…,Ud be a non-periodic collection of commuting measure preserving transformations on a probab...
In this paper, we study Lebesgue differentiation processes along rectangles $R_k$ shrinking to the o...
We show that the moving arithmetic average is closely connected to a Gauss–Seidel type fixed point m...
We consider the L² bounds of the three types of the classical maximal averages over (i) annuli on th...
Abstract. This paper is an attempt to understand a phenomena of maximal opera-tors associated to bas...
International audienceA key tool in recent advances in understanding arithmetic progressions and oth...
Here we obtain Invariance principle for maxima in two particular cases. The time-intersections of co...
In this paper we continue our investigations of square function inequalities. The results in [9] are...
AbstractLetS: [0,1]→[0,1] be a piecewise monotonic transformation satisfying some conditions. We sho...
© 2015, Hebrew University of Jerusalem.Furstenberg, Katznelson and Weiss proved in the early 1980s t...
Let (X,µ) be a [sigma]-finite measure space and let [tau] be an ergodic invertible measure preservin...
ABSTRACT. In recent articles, it was proved that when mu is a finite, radial measure in Rn with a bo...
We examine the L^p norm dimensional asymptotics of spherical and ball maximal averaging operators on...
In this work, we study the almost sure convergence of the averages of certain classes of sequences a...
Abstract. We extend Christ’s estimate for the 2-plane transform to a maximal operator setting. 1
Let U1,…,Ud be a non-periodic collection of commuting measure preserving transformations on a probab...
In this paper, we study Lebesgue differentiation processes along rectangles $R_k$ shrinking to the o...
We show that the moving arithmetic average is closely connected to a Gauss–Seidel type fixed point m...
We consider the L² bounds of the three types of the classical maximal averages over (i) annuli on th...
Abstract. This paper is an attempt to understand a phenomena of maximal opera-tors associated to bas...
International audienceA key tool in recent advances in understanding arithmetic progressions and oth...
Here we obtain Invariance principle for maxima in two particular cases. The time-intersections of co...
In this paper we continue our investigations of square function inequalities. The results in [9] are...
AbstractLetS: [0,1]→[0,1] be a piecewise monotonic transformation satisfying some conditions. We sho...
© 2015, Hebrew University of Jerusalem.Furstenberg, Katznelson and Weiss proved in the early 1980s t...
Let (X,µ) be a [sigma]-finite measure space and let [tau] be an ergodic invertible measure preservin...
ABSTRACT. In recent articles, it was proved that when mu is a finite, radial measure in Rn with a bo...
We examine the L^p norm dimensional asymptotics of spherical and ball maximal averaging operators on...