Results 41 to 50 of about 7,070 (191)

Norm Comparison Estimates for the Composite Operator

Journal of Function Spaces, 2014
This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
doaj   +1 more source

Local Muckenhoupt class for variable exponents

Journal of Inequalities and Applications, 2021
This work extends the theory of Rychkov, who developed the theory of A p loc $A_{p}^{\mathrm{loc}}$ weights. It also extends the work by Cruz-Uribe SFO, Fiorenza, and Neugebauer. The class A p ( ⋅ ) loc $A_{p(\cdot )}^{\mathrm{loc}}$ is defined.
Toru Nogayama, Yoshihiro Sawano
doaj   +1 more source

A_p Weights in Directionally (γ,m) Limited Space and Applications

Mathematics, 2022
Let (X,d) be a directionally (γ,m)-limited space with every γ∈(0,∞). In this setting, we aim to study an analogue of the classical theory of Ap(μ) weights. As an application, we establish some weighted estimates for the Hardy–Littlewood maximal operator.
Yu Yan, Yiming Wang, Yiming Lei
doaj   +1 more source

The maximal Beurling transform associated with squares

, 2014
It is known that the improved Cotlar's inequality $B^{*}f(z) \le C M(Bf)(z)$, $z\in\mathbb C$, holds for the Beurling transform $B$, the maximal Beurling transform $B^{*}f(z)=$ $\displaystyle\sup_{\varepsilon >0}\left|\int_{|w|>\varepsilon}f(z-w) \frac{1}
Bosch-Camós, Anna, Mateu, Joan, Orobitg, Joan   +2 more
core   +1 more source

The Riesz “rising sun” lemma for arbitrary Borel measures with some applications

Journal of Function Spaces and Applications, 2007
The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak (1,1) type inequality for the corresponding Hardy-Littlewood ...
Lasha Ephremidze, Nobuhiko Fujii, Yutaka Terasawa   +2 more
doaj   +1 more source

Dimension free bounds for the vector-valued Hardy–Littlewood maximal operator [PDF]

Revista Matemática Iberoamericana, 2019
In this article, Fefferman–Stein inequalities in L^p(\mathbb R^d; \ell^q) with bounds independent of the dimension d are proved, for all
Deleaval, Luc, Kriegler, Christoph
openaire   +3 more sources

Arithmetic progressions at the Journal of the LMS

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
wiley   +1 more source

Geometric properties of infinite graphs and the Hardy–Littlewood maximal operator [PDF]

Journal d'Analyse Mathématique, 2019
18 pages, 5 ...
Soria, Javier, Tradacete, Pedro
openaire   +3 more sources