Hardy–Littlewood maximal operatorLet(X,d,μ)be a complete metric measure space andμbe a non-negative Borel regular measure satisfying the doubling condition with some dimensional constantd. We prove that the Hausdorff content of codimensionα∈[0,∞), denoted byHα, and the Hardy–Littlewood ...
Hardy-Littlewood maximal operator on - Nekvinda () Citation Context ... Lebesgue spaces on Rn the situation is a bit more precarious: Lp() maps to Lp() only when p() is suciently regular. Due to the eorts of L. Pick & M. Ruzicka [18], L. Diening [3], A. Nekvinda =-=[...
We proveΦ-inequalities ofHardy-Littlewood maximal functionof T-measurable operators in the sense of[1]. 在[1]的意义下证明了τ-可测算子的Hardy-Littlewood极大函数的Φ-不等式。 更多例句>> 3) Hardy-Littlewood maximal function mf Hardy-Littlewood极大函数mf ...
A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces. It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,???w with weight function w???Aa,b,k,loc, the class of double points local Ap weights...
5) Hardy-littlewood maximal operators Hardy-Littlewood极大算子 1. Hardy-Littlewood maximal operators M and M were first introduced by Hardy and Littlewood. Hardy-Littlewood极大算子M及(?)最早是由Hardy及Littlewood提出的。6) Hardy Littlewood maximal operator Hardy-Litlewood极大算子...
We show that the best constants appearing in the weak type (1,1) inequalities satisfied by the centered Hardy-Littlewood maximal function associated to som... JM Aldaz - 《Bulletin of the London Mathematical Society》 被引量: 23发表: 2007年 The Fractional Maximal Operator and Marcinkiewicz Integ...
摘要: The main goal of this paper is to provide a characterization of the weak-type boundedness of the Hardy–Littlewood maximal operator, M, on weighted Lorentz spaces $$\Lambda ^p_u(w)$$Λup(w), whenever $$关键词: Weighted Lorentz spaces Hardy–Littlewood maximal operator 42B25 47A30 ...
We are interested in the problem of extending the machinery of harmonic analysis to these spaces. We give an overview of the properties of variable L p -spaces and discuss our proof that the Hardy-Littlewood maximal operator is bounded on them.被引量: 35 年份: 2003 ...
Moreover, the counterexample shows also that the classical Hardy–Littlewood maximal operator considered in Huang et al. [22] is not bounded on L_{(p, \infty )} (cf. Lemma 3.5 in [22] and Lemma 4.8 in [35]).4 Atomic Decomposition First of all, we need the definition of the atoms...