Add to ORKGAbstract. Many maximal functions defined on some Orlicz spaces LA are bounded operators on LA if and only if they satisfy a capacitary weak inequality. We show also that (m,A)−quasievery x is a Lebesgue point for f in LA sense and we give an (m,A) − quasicontinuous representative for f when LA is reflexive. 1
AbstractFor f∈Lp(Rn), with 1⩽p<∞, ε>0 and x∈Rn we denote by Tε(f)(x) the set of every best constant ...
In this note we describe some recent advances in the area of maximal function inequalities. We also ...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We consider maximal operators Mβ with respect to a basis β. In the case when Mβ satisfies a reversed...
We introduce the one-sided local maximal operator and study its connection to the one-sided Ap condi...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...
Abstract. We consider maximal operators MB with respect to a basis B. In the case when MB satisfies ...
In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobol...
ABSTRACT. The boundedness of modified maximal operator and potentials in variable Morrey spaces defi...
We consider maximal operators MB with respect to a basis B. In the case when MB satisfies a reversed...
Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon...
In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobol...
Let $Φ(t) = ʃ_{0}^{t} a(s)ds$ and $Ψ(t) = ʃ_{0}^{t} b(s)ds$, where a(s) is a positive continuous fun...
AbstractOur aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operat...
Abstract. Herein a sufficient condition for q to belong to Q ∩ T−1(0) is provided, where Q is a weak...
AbstractFor f∈Lp(Rn), with 1⩽p<∞, ε>0 and x∈Rn we denote by Tε(f)(x) the set of every best constant ...
In this note we describe some recent advances in the area of maximal function inequalities. We also ...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We consider maximal operators Mβ with respect to a basis β. In the case when Mβ satisfies a reversed...
We introduce the one-sided local maximal operator and study its connection to the one-sided Ap condi...
summary:The classical Hardy-Littlewood maximal operator is bounded not only on the classical Lebesgu...
Abstract. We consider maximal operators MB with respect to a basis B. In the case when MB satisfies ...
In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobol...
ABSTRACT. The boundedness of modified maximal operator and potentials in variable Morrey spaces defi...
We consider maximal operators MB with respect to a basis B. In the case when MB satisfies a reversed...
Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon...
In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobol...
Let $Φ(t) = ʃ_{0}^{t} a(s)ds$ and $Ψ(t) = ʃ_{0}^{t} b(s)ds$, where a(s) is a positive continuous fun...
AbstractOur aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operat...
Abstract. Herein a sufficient condition for q to belong to Q ∩ T−1(0) is provided, where Q is a weak...
AbstractFor f∈Lp(Rn), with 1⩽p<∞, ε>0 and x∈Rn we denote by Tε(f)(x) the set of every best constant ...
In this note we describe some recent advances in the area of maximal function inequalities. We also ...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...