Results 1 to 10 of about 14,117,029 (318)

Bilinear Spherical Maximal Function [PDF]

Mathematical Research Letters, 2017
We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of $L^p$ with ...
José A. Barrionuevo, Loukas Grafakos, Danqing He, Petr Honz'ik, L. Oliveira   +4 more
semanticscholar   +4 more sources

Multilinear spherical maximal function [PDF]

Proceedings of the American Mathematical Society, 2019
In dimensions n ≥ 2 n\ge 2 we obtain L p 1 ( R n )
Georgios Dosidis
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Poincaré inequalities for the maximal function [PDF]

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2016
We study generalized Poincar\'e inequalities. We prove that if a function satisfies a suitable inequality of Poincar\'e type, then the Hardy-Littlewood maximal function also obeys a meaningful estimate of similar form.
Olli Saari
semanticscholar   +5 more sources

Cones generated by a generalized fractional maximal function [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and ...
N.А. Bokayev, A. Gogatishvili, А.N. Abek   +2 more
doaj   +2 more sources

Sparse bounds for the bilinear spherical maximal function [PDF]

Journal of the London Mathematical Society, 2022
We derive sparse bounds for the bilinear spherical maximal function in any dimension d⩾1$d\geqslant 1$ . When d⩾2$d\geqslant 2$ , this immediately recovers the sharp Lp×Lq→Lr$L^p\times L^q\rightarrow L^r$ bound of the operator and implies quantitative ...
Tainara Borges, B. Foster, Yumeng Ou, J. Pipher, Zirui Zhou   +4 more
semanticscholar   +1 more source

The multilinear spherical maximal function in one dimension [PDF]

Proceedings of the Edinburgh Mathematical Society, 2022
In dimension n = 1, we obtain $L^{p_1}(\mathbb R) \times\dots\times L^{p_m}(\mathbb R)$ to $L^p(\mathbb R)$ boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples that ...
Georgios Dosidis, João P. G. Ramos
semanticscholar   +1 more source

Sharp Lp bounds for the helical maximal function [PDF]

American Journal of Mathematics, 2021
:We establish the $L^p(\R^3)$ boundedness of the helical maximal function for the sharp range $p>3$. Our results improve the previous known bounds for $p>4$.
David Beltran, Shaoming Guo, J. Hickman, A. Seeger   +3 more
semanticscholar   +1 more source

WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

Проблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal, K. Saibi, O. Melkemi, Z. Mokhtari   +3 more
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Necessary and sufficient conditions for boundedness of commutators of maximal function on the $ p $-adic vector spaces

AIMS Mathematics, 2023
In this paper, we first show that the $ p $-adic version of maximal function $ \mathcal{M}_{L\log L}^{p} $ is equivalent to the maximal function $ \mathcal{M}^{p}(\mathcal{M}^{p}) $ and that the class of functions for which the maximal commutators and ...
Qianjun He, Xiang Li
semanticscholar   +1 more source

Maximal Function Characterizations of Hardy Spaces on ${\mathbb{R}}^{\mathit{n}}$ with Pointwise Variable Anisotropy

Mathematics, 2021
In 2011, Dekel et al.
Aiting Wang, Wenhua Wang, Baode Li
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