Results 11 to 20 of about 940,591 (166)

Double Points Local Hardy-Littlewood Maximal Operator [PDF]

open access: yesAbstract and Applied Analysis, 2013
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 ...
Futao Song, Na Ju
doaj   +2 more sources

Maximal functions and subordination for operator groups. [PDF]

open access: yes, 2002
Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
core   +4 more sources

A maximal theorem for holomorphic semigroups. [PDF]

open access: yes, 2004
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible linear operator that is the generator of abounded holomorphic semigroup T_t on X.
Ian Doust   +3 more
core   +4 more sources

Regularity of the Hardy-Littlewood maximal operator on block decreasing functions [PDF]

open access: yes, 2009
We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Lázaro, F.J.P. [0000-0001-5354-8940]   +1 more
core   +1 more source

Norm inequalities for maximal operators

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we introduce a family of one-dimensional maximal operators M κ , m $\mathscr{M}_{\kappa ,m}$ , κ ≥ 0 $\kappa \geq 0$ and m ∈ N ∖ { 0 } $m\in \mathbb{N}\setminus \{0\}$ , which includes the Hardy–Littlewood maximal operator as a special ...
Salem Ben Said, Selma Negzaoui
doaj   +1 more source

Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan   +3 more
doaj   +1 more source

Variation Inequalities for the Hardy-Littlewood Maximal Function on Finite Directed Graphs

open access: yesMathematics, 2022
In this paper, the authors establish the bounds for the Hardy-Littlewood maximal operator defined on a finite directed graph G→ in the space BVp(G→) of bounded p-variation functions.
Feng Liu, Xiao Zhang
doaj   +1 more source

Countably Semiadditive Functionals and the Hardy–Littlewood Maximal Operator [PDF]

open access: yes, 2013
: We describe the continuity of nonlinear Hardy–Littlewood maximal operator in nonmetricable function space,  is a measurable subset of Rn with finite ...
Berezhnoj, E. I., Smirnov, E. I.
core   +1 more source

Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces

open access: yesJournal of Function Spaces, 2014
We study the boundedness of Φ-admissible sublinear singular operators on Orlicz-Morrey spaces MΦ,φℝn. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund ...
Javanshir J. Hasanov
doaj   +1 more source

New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

open access: yesJournal of Function Spaces and Applications, 2012
The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
doaj   +1 more source

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