Results 231 to 240 of about 5,835,731 (257)
Some of the next articles are maybe not open access.
On the best constant in the L estimate for the sharp maximal function
Journal of Mathematical Analysis and Applications, 2023This article studies the best constant in the \(L^p(\mathbb{R})\) estimate for the sharp maximal function \(\widetilde{f^\#}\) associated with the bounded lower oscillation setting. This maximal function is given by the formula \(\widetilde{f^\#}(x)=\underset{I}{\sup}\big(\langle f\rangle-\underset{I}{\mbox{ ess inf}}(f)\big)\) where \(I\) is an ...
Adam Osȩkowski
exaly +2 more sources
Sharp maximal function andC p condition
Archiv Der Mathematik, 1990Let \(f^{\#}\) denote the sharp maximal function, i.e. \[ f^{\#}(x)=\sup_{x\in Q}\frac{1}{| Q|}\int_{Q}| f(y)- \frac{1}{| Q|}\int_{Q}f(z)dz| dy, \] where the supremum is taken over all cubes Q with sides parallel to the coordinate axes, and containing x. \(C_ p\) is the weight class introduced by Muckenhoupt: a weight w(x) is said to belong to \(C_ p\),
exaly +2 more sources
Sharp $L^2$ estimates of the Schrödinger maximal function in higher dimensions
Annals of Mathematics, 2019This paper deals mainly with the allmost everywhere convergence of solutions of the free Schrödinger equation. Consider the following free Schrödinger equation: \[ \begin{cases} i\partial _{t}u-\Delta u=0&\text{on }\mathbb{R}^{n}\times \mathbb{R},\\ u(x,0)=f(x)&\text{on }\mathbb{R}^{n}, \end{cases}\tag{1} \] where $f$ is a given function in some ...
Ruixiang Zhang
exaly +3 more sources
Weighted Norm Inequalities for the Local Sharp Maximal Function
Journal of Fourier Analysis and Applications, 2004A weighted norm inequality for the local sharp maximal function M# λf is proved. Our main result along with the extrapolation theorem by D. Cruz-Uribe and C. Perez is applied to obtaining several new weighted norm inequalities for maximal functions and singular integrals. Several open problems are given.
exaly +2 more sources
A new characterization of RBMO(μ) by John-Strömberg sharp maximal functions
Czechoslovak Mathematical Journal, 2009Let μ be a nonnegative Radon measure on ℝd which only satisfies μ (B(x, r)) ⩽ C0rn for all x ∈ ℝd, r > 0, with some fixed constants C0 > 0 and n ∈ (0, d]. In this paper, a new characterization for the space RBMO(μ) of Tolsa in terms of the John-Stromberg sharp maximal function is established.
Dongyong Yang, Guoen Hu
exaly +2 more sources
Sharp weighted weak-norm estimates for maximal functions
Statistics & Probability Letters, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michał Brzozowski +2 more
openaire +1 more source
2014
In considering the resistance of materials to certain types of deformations, F. John was led to the study of quasi-isometric mappings. The setting is essentially as follows. Let f be a continuous function defined on a cube \(Q_{0} \subset \mathbb{R}^{n}\).
openaire +1 more source
In considering the resistance of materials to certain types of deformations, F. John was led to the study of quasi-isometric mappings. The setting is essentially as follows. Let f be a continuous function defined on a cube \(Q_{0} \subset \mathbb{R}^{n}\).
openaire +1 more source
Sharp inequalities for maximal functions associated with general measures
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1998Sharp weak type (1,1) and Lp estimates in dimension one are obtained for uncentred maximal functions associated with Borel measures which do not necessarily satisfy a doubling condition. In higher dimensions, uncentred maximal functions fail to satisfy such estimates. Analogous results for centred maximal functions are given in all dimensions.
Grafakos, L., Kinnunen, J.
openaire +2 more sources
$β$-dimensional sharp maximal function and applications
In this paper, we study $β$-dimensional sharp maximal operator defined as \begin{align*} \mathcal{M}^{\#} _βf(x) := \sup_{Q} \inf_{c \in \mathbb{R}} χ_{Q}(x) \frac{1}{\ell(Q)^β} \int_Q |f-c| \; d \mathcal{H}^β_\infty, \end{align*} where the supremum is taken over all cubes in $\mathbb{R}^d$ with sides pararell to the coordinate axes, $\ell(Q)$ is the ...Chen, You-Wei Benson, Claros, Alejandro
openaire +1 more source