Results 1 to 10 of about 2,710,426 (336)
The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces [PDF]
Journal of Function Spaces, 2014 The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the
Takeshi Iida
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Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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A boundedness criterion for the maximal operator on variable Lebesgue spaces [PDF]
Journal d'Analyse Mathematique, 2023 We obtain a necessary and sufficient condition on an exponent p(·) for which the Hardy–Littlewood maximal operator is bounded on the variable Lp(·) space.
A. Lerner
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Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level [PDF]
Journal of Functional Analysis, 2021 We prove the continuity of the map $f \mapsto (Mf)'$ from $W^{1,1}(\mathbb{R})$ to $L^1(\mathbb{R})$, where $M$ is the centered Hardy-Littlewood maximal operator. This solves a question posed by Carneiro, Madrid and Pierce.
Cristian Gonz'alez-Riquelme
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BV continuity for the uncentered Hardy–Littlewood maximal operator [PDF]
Journal of Functional Analysis, 2020 We prove the continuity of the map $f \mapsto \widetilde{M}f$ from $BV(\mathbb{R})$ to itself, where $\widetilde{M}$ is the uncentered Hardy--Littlewood maximal operator. This answers a question of Carneiro, Madrid and Pierce.
Cristian Gonz'alez-Riquelme +1 more
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Weighted norm inequalities for the maximal operator on L^p(·) over spaces of homogeneous type [PDF]
Annales Fennici Mathematici, 2020 Given a space of homogeneous type \((X,d,\mu)\), we prove strong-type weighted norm inequalities for the Hardy-Littlewood maximal operator over the variable exponent Lebesgue spaces \(L^{p(\cdot)}\).
D. Cruz-Uribe, Jeremy Cummings
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Fractional operators and their commutators on generalized Orlicz spaces [PDF]
Opuscula Mathematica, 2022 In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials.
Arttu Karppinen
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Karpatsʹkì Matematičnì Publìkacìï, 2023 We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
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The circular maximal operator on Heisenberg radial functions [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019 Lebesgue space estimates are obtained for the circular maximal function on the Heisenberg group $\mathbb{H}^1$ restricted to a class of Heisenberg radial functions.
David Beltran +3 more
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The Hardy–Littlewood Maximal Operator on Discrete Morrey Spaces [PDF]
Mediterranean Journal of Mathematics, 2018 We discuss the Hardy–Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a discrete version of the Fefferman–Stein inequality.
H. Gunawan, C. Schwanke
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