Results 1 to 10 of about 12,388,491 (323)

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
doaj   +2 more sources

A Kakeya maximal function estimate in four dimensions using planebrushes [PDF]

Revista matemática iberoamericana, 2019
We obtain an improved Kakeya maximal function estimate in $\mathbb{R}^4$ using a new geometric argument called the planebrush. A planebrush is a higher dimensional analogue of Wolff's hairbrush, which gives effective control on the size of Besicovitch ...
Katz, Nets Hawk, Zahl, Joshua
core   +4 more sources

Weighted estimates for the multilinear maximal function [PDF]

, 2013
A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows to obtain a multilinear analogue of Sawyer's two weight theorem for the multisublinear maximal function \mathcal{M} introduced in Lerner et al.
Chen, Wei, Damián, Wendolín
core   +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

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   +3 more sources

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
doaj   +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
doaj   +1 more source

Variable Anisotropic Hardy Spaces with Variable Exponents

Analysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
doaj   +1 more source