Add to ORKGWe consider maximal operators MB with respect to a basis B. In the case when MB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MB on an arbitrary quasi-Banach function space X. Being applied to specific B and X this criterion yields new and short proofs of a number of well-known results. Our principal application is related to an open problem on the boundedness of the two-dimensional one-sided maximal function M+ on Lpw. 1
In this paper, we survey recent progress on the theory of maximally monotone operators in general Ba...
AbstractWeight functions are characterized so that Hardy–Littlewood maximal operator is bounded in c...
It is proved that the boundedness of the maximal operator M from a Lebesgue space Lp1 (Rn) to a gene...
Abstract. We consider maximal operators MB with respect to a basis B. In the case when MB satisfies ...
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...
We characterize the space BV (I) of functions of bounded variation on an arbitrary interval I R, in...
AbstractOur aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operat...
AbstractWe characterize the space BV(I) of functions of bounded variation on an arbitrary interval I...
In this thesis we study the boundedness of a generalization of the Hardy-Littlewood maximal operator...
Abstract. Many maximal functions defined on some Orlicz spaces LA are bounded operators on LA if and...
summary:We study the regularity properties of bilinear maximal operator. Some new bounds and continu...
Abstract. Consider one-sided Hardy-Littlewood maximal operator on the general Lebesgue space with va...
In this note we describe some recent advances in the area of maximal function inequalities. We also ...
Abstract. This paper studies a new maximal operator introduced by Hytönen, McIntosh and Portal in 20...
In this paper, we survey recent progress on the theory of maximally monotone operators in general Ba...
AbstractWeight functions are characterized so that Hardy–Littlewood maximal operator is bounded in c...
It is proved that the boundedness of the maximal operator M from a Lebesgue space Lp1 (Rn) to a gene...
Abstract. We consider maximal operators MB with respect to a basis B. In the case when MB satisfies ...
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...
We characterize the space BV (I) of functions of bounded variation on an arbitrary interval I R, in...
AbstractOur aim in this paper is to deal with the boundedness of the Hardy–Littlewood maximal operat...
AbstractWe characterize the space BV(I) of functions of bounded variation on an arbitrary interval I...
In this thesis we study the boundedness of a generalization of the Hardy-Littlewood maximal operator...
Abstract. Many maximal functions defined on some Orlicz spaces LA are bounded operators on LA if and...
summary:We study the regularity properties of bilinear maximal operator. Some new bounds and continu...
Abstract. Consider one-sided Hardy-Littlewood maximal operator on the general Lebesgue space with va...
In this note we describe some recent advances in the area of maximal function inequalities. We also ...
Abstract. This paper studies a new maximal operator introduced by Hytönen, McIntosh and Portal in 20...
In this paper, we survey recent progress on the theory of maximally monotone operators in general Ba...
AbstractWeight functions are characterized so that Hardy–Littlewood maximal operator is bounded in c...
It is proved that the boundedness of the maximal operator M from a Lebesgue space Lp1 (Rn) to a gene...