Results 31 to 40 of about 7,070 (191)
Weighted Iterates and Variants of the Hardy-Littlewood Maximal Operator [PDF]
Transactions of the American Mathematical Society, 1983 Let \(\mu\),\(\nu\) be two measures on \(R^ n\). Suppose that a function \(\phi_ Q\) supported in Q is associated with each cube Q in \(R^ n\). Let \(Mf(x)=\sup \int f\phi_ Qd\nu\) be the maximal operator where the sup is extended over all Q with center x. In the previous paper [Trans. Am. Math. Soc.
Leckband, M. A., Neugebauer, C. J.
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Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces
Journal 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
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New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
Journal 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
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal of Function Spaces, 2021 Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
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Boundedness of hardy-littlewood maximal operator in the framework of lizorkin-triebel spaces [PDF]
, 2002 We describe a class O of nonlinear operators which are bounded on the Lizorkin–Triebel spaces Fs p,q(Rn), for 0 < s < 1 and 1 < p, q < 1. As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on Fs p,q(Rn), for 0 < s < 1 and 1 ...
Korry, Soulaymane
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Journal of Inequalities and Applications, 2019 Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki +2 more
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Results in Applied MathematicsThis paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces.
HanLin Li, Jiang Zhou
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Journal of Function Spaces, 2016 The authors establish the two-weight norm inequalities for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces. As application, they obtain the two-weight norm inequalities of variable Riemann-Liouville operator and variable Weyl
Caiyin Niu, Zongguang Liu, Panwang Wang
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Weighted norm inequalities for general maximal operators [PDF]
, 1991 In [13] Muckenhoupt proved the fundamental result characterizing all the weights for which the Hardy-Littlewood maximal operator is bounded; the sur-prisingly simple necessary and sufficient condition is the so called AP-condition (see below).
Pérez, C.
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On the centered Hardy-Littlewood maximal operator [PDF]
Transactions of the American Mathematical Society, 2002 The author investigates the best constant \(C\) in the weak type (1,1) inequality for the centered Hardy-Littlewood maximal operator in dimension one, given by \[ Mf(x)= \sup_{h> 0} {1\over 2h} \int^{x+ h}_{x-h}|f(y)|dy,\qquad x\in\mathbb{R}. \] The exact value of this constant is not known.
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