Results 161 to 170 of about 7,070 (191)

On the Compactness of Commutators of Hardy–Littlewood Maximal Operator

Analysis Mathematica, 2019
Denote by $$\mathcal{M}$$ be the bilinear Hardy–Littlewood maximal operator and let $$\overrightarrow{b}$$
D.-H. Wang, J. Zhou, Z.-D. Teng
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Rearrangement inequality for the Hardy–Littlewood maximal operator

Banach Journal of Mathematical Analysis, 2022
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Nie, Xudong, Yan, Dunyan, Liu, Shao, Deng, Yangkendi   +3 more
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Local Hardy–Littlewood maximal operator

Mathematische Annalen, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Chin-Cheng, Stempak, Krzysztof
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Two generalizations of hardy-littlewood maximal operator

Applied Mathematics-A Journal of Chinese Universities, 2006
Let \(\Omega\) be an open subset of \(\mathbb{R}^n\). The authors study the generalize Hardy-Littlewood maximal operators: \[ W_\sigma M_\theta h(x)= \sup\Biggl\{\Biggl[{n\over t^n} \int^t_0 r^{n-1}\Biggl({1\over|S(x,\sigma r)|} \int_{S(x,\sigma r)}|h(y)|\,dy\Biggr)^\theta dr\Biggr]^{{1\over\theta ...
Gao, Hongya, Zhao, Hongliang
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The one-sided dyadic Hardy—Littlewood maximal operator

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2014
The main aim of this paper is to introduce an appropriate dyadic one-sided maximal operator , smaller than the one-sided Hardy–Littlewood maximal operator M+ but such that it controls M+ in a similar way to how the usual dyadic maximal operator controls the Hardy-Littlewood maximal operator. We characterize the weighted inequalities for this dyadic one-
Lorente, María, Martín-Reyes, Francisco J.   +1 more
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The Hardy–Littlewood Maximal Operator

2014
In this chapter we turn to the study of harmonic analysis on the variable Lebesgue spaces. Our goal is to establish sufficient conditions for the Hardy–Littlewood maximal operator to be bounded on L p(.); in the next chapter we will show how this can be used to prove norm inequalities on L p(.) for the other classical operators of harmonic analysis. We
David Cruz-Uribe, Alberto Fiorenza, Michael Ruzhansky, Jens Wirth   +3 more
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Real analysis without using the Hardy–Littlewood maximal operator

Sugaku Expositions, 2023
In the paper, the author focuses on a sampling theorem that is one of the real analytic topics independent of the Hardy-Littlewood maximal operator \(\mathcal M \). He/She specifically explains the following two results: (1) Extension of series corresponding to the sampling theorem to analytic functions (Section 3 [\textit{M. Izuki}, Complex Anal. Oper.
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Choquet Integrals, Hausdorff Content and the Hardy-Littlewood Maximal Operator

Bulletin of the London Mathematical Society, 1998
Using the \(\text{BMO-}H^1\) duality (among other things), \textit{D. R. Adams} [Lect. Notes Math. 1302, 115-124 (1988; Zbl 0658.31009)] proved the strong type inequality \[ \int Mf(x)dH^\alpha(x)\leq C\int| f(x)| dH^\alpha(x), \qquad ...
Orobitg, Joan, Verdera, Joan
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A note on maximal operators of Hardy–Littlewood type

Mathematical Proceedings of the Cambridge Philosophical Society, 1987
We give a quick proof of a result of A. Nagel and E. M. Stein concerning the boundedness of certain generalizations of the Hardy-Littlewood maximal operator.
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Hardy-Littlewood maximal operator in generalized grand Lebesgue spaces

AIP Conference Proceedings, 2014
We obtain sufficient conditions and necessary conditions for the maximal operator to be bounded in the generalized grand Lebesgue space on an open set Ω ∈ Rn which is not necessarily bounded. The sufficient conditions coincide with necessary conditions for instance in the case where Ω is bounded and the standard definition of the grand space is used.
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