Add to ORKGFor certain piecewise linear plane curves r and convex functions Φ we address the question of whether the maximal operator along Γ is of weak type Φ(L). For example, when Γ is the graph of the continuous map y for which γ(2k) = 22k and y is linear on [2k, 2k+1], k ∈ Z then the maximal operator along Γ is not of weak type L(logL)σ for any σ ∈ (0, 1/2)
Abstract. In this paper we prove that the generalized (in the sense of Caffarelli and Calderón [5]) ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...
For certain piecewise linear plane curves r and convex functions Φ we address the question of whethe...
For a class of convex curves in Rd we prove that the corresponding maximal operator and Hilbert tran...
AbstractFor ψ∈C0∞(Rd) and m>0 we consider the maximal operator given byMmf(x,t)=supr>0|∫Rdf(x−y,t−|y...
Abstract. We study the following open question raised by Janakiraman in [2]: for f ∈ L1(Rn) ∩ L∞(Rn...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...
. The best constant in the usual L p norm inequality for the centered Hardy-Littlewood maximal fun...
Dedicated to Stephen Simons on the occasion of his 70th birthday We analyze and characterize maximal...
This paper is concerned with establishing Lp estimates for a class of maximal operators associated t...
Abstract. Many maximal functions defined on some Orlicz spaces LA are bounded operators on LA if and...
We use an abstract version of a theorem of Kolmogorov-Seliverstov- Paley to obtain sharp L2 estimate...
We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directi...
Abstract. We show that some singular maximal functions and singular Radon transforms satisfy a weak ...
Abstract. In this paper we prove that the generalized (in the sense of Caffarelli and Calderón [5]) ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...
For certain piecewise linear plane curves r and convex functions Φ we address the question of whethe...
For a class of convex curves in Rd we prove that the corresponding maximal operator and Hilbert tran...
AbstractFor ψ∈C0∞(Rd) and m>0 we consider the maximal operator given byMmf(x,t)=supr>0|∫Rdf(x−y,t−|y...
Abstract. We study the following open question raised by Janakiraman in [2]: for f ∈ L1(Rn) ∩ L∞(Rn...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...
. The best constant in the usual L p norm inequality for the centered Hardy-Littlewood maximal fun...
Dedicated to Stephen Simons on the occasion of his 70th birthday We analyze and characterize maximal...
This paper is concerned with establishing Lp estimates for a class of maximal operators associated t...
Abstract. Many maximal functions defined on some Orlicz spaces LA are bounded operators on LA if and...
We use an abstract version of a theorem of Kolmogorov-Seliverstov- Paley to obtain sharp L2 estimate...
We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directi...
Abstract. We show that some singular maximal functions and singular Radon transforms satisfy a weak ...
Abstract. In this paper we prove that the generalized (in the sense of Caffarelli and Calderón [5]) ...
AbstractLetMf(x)=supt>0|f*δt(ψdσ)(x)|denote the maximal operator associated with surface measuredσon...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...