Results 81 to 90 of about 7,070 (191)

Optimality of embeddings in Orlicz spaces

Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.
Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
wiley   +1 more source

Odd moments and adding fractions

Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract We prove near‐optimal upper bounds for the odd moments of the distribution of coprime residues in short intervals, confirming a conjecture of Montgomery and Vaughan. As an application, we prove near‐optimal upper bounds for the average of the refined singular series in the Hardy–Littlewood conjectures concerning the number of prime k$k$‐tuples
Thomas F. Bloom, Vivian Kuperberg
wiley   +1 more source

The Real and Complex Techniques in Harmonic Analysis from the Point of View of Covariant Transform

, 2014
This note reviews complex and real techniques in harmonic analysis. We describe a common source of both approaches rooted in the covariant transform generated by the affine group.
Kisil, Vladimir V.
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Hardy–Littlewood maximal operators on trees with bounded geometry

Transactions of the American Mathematical Society
In this paper we study the L p L^p boundedness of the centred and the uncentred Hardy–Littlewood maximal operators on the class  Υ a , b \Upsilon _{a,b} , 2 ≤ a ≤ b 2\leq a\leq b , of trees with
Matteo Levi, Stefano Meda, Federico Santagati, Maria Vallarino   +3 more
openaire   +3 more sources

Anticomonotonicity for preference axioms: The natural counterpart to comonotonicity

Theoretical Economics, Volume 20, Issue 3, Page 831-855, July 2025.
Comonotonicity (same variation) of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (opposite variation (AC)), the natural counterpart to comonotonicity. It minimizes leveraging rather than hedging possibilities.
Giulio Principi, Peter P. Wakker, Ruodu Wang   +2 more
wiley   +1 more source

Ground states of a non‐local variational problem and Thomas–Fermi limit for the Choquard equation

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study non‐negative optimisers of a Gagliardo–Nirenberg‐type inequality ∫∫RN×RN|u(x)|p|u(y)|p|x−y|N−αdxdy⩽C∫RN|u|2dxpθ∫RN|u|qdx2p(1−θ)/q,$$\begin{align*} & \iint\nolimits _{\mathbb {R}^N \times \mathbb {R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha }} dx\, dy\\ &\quad \leqslant C{\left(\int _{{\mathbb {R}}^N}|u|^2 dx\right)}^{p\theta } {\
Damiano Greco, Yanghong Huang, Zeng Liu, Vitaly Moroz   +3 more
wiley   +1 more source

The best constant for centered Hardy-Littlewood maximal inequality

, 2003
We find the exact value of the best possible constant $C$ for the weak type $(1,1)$ inequality for the one dimensional centered Hardy-Littlewood maximal operator.
Melas, Antonios D.
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The Hardy–Littlewood maximal operator on discrete weighted Morrey spaces

Acta Mathematica Hungarica
In this paper, we introduce a discrete version of weighted Morrey spaces, and discuss the inclusion relations of these spaces. In addition, we obtain the boundedness of discrete weighted Hardy-Littlewood maximal operators on discrete weighted Lebesgue spaces by establishing a discrete Calderón-Zygmund decomposition for weighted $l^1$-sequences ...
Hao, X. B., Li, B. D., Yang, S.
openaire   +3 more sources

Fixed points of the uncentered Hardy-Littlewood maximal operator

, 2022
We give a survey, known and new results on the beingness of fixed points of the maximal operator in the more general settings of metric measure space. In particular, we prove that the fixed points of the uncentered one must be the constant function if the measure satisfies a mild continuity assumption and its support is connected.
openaire   +2 more sources

The boundedness of classical operators on variable L-p spaces [PDF]

, 2006
We show that many classical operators in harmonic analysis ---such as maximal operators, singular integrals, commutators and fractional integrals--- are bounded on the variable Lebesgue space $L^{p(\cdot)}$ whenever the Hardy-Littlewood maximal operator ...
Cruz Uribe, David, Fiorenza, Alberto, Martell Berrocal, José María, Pérez Moreno, Carlos   +3 more
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