Results 291 to 300 of about 12,388,491 (323)

Regularity and continuity of commutators of the Hardy–Littlewood maximal function

Mathematische Nachrichten, 2020
Let M be the Hardy–Littlewood maximal function and let [b,M] be its corresponding commutator.
Feng Liu, Qingying Xue, Pu Zhang
semanticscholar   +1 more source

Sharp L2 estimates of the Schrödinger maximal function in higher dimensions

Annals of Mathematics, 2018
We show that, for $n\geq 3$, $\lim_{t \to 0} e^{it\Delta}f(x) = f(x)$ holds almost everywhere for all $f \in H^s (\mathbb{R}^n)$ provided that $s>\frac{n}{2(n+1)}$.
Xiumin Du, Ruixiang Zhang
semanticscholar   +1 more source

Atomic and maximal function characterizations of Musielak–Orlicz–Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type

Collectanea Mathematica, 2018
Let $${\mathcal {X}}$$X be a metric space with doubling measure and L be a non-negative self-adjoint operator on $$L^2({\mathcal {X}})$$L2(X) whose heat kernels satisfy the Gaussian upper bound estimates.
Sibei Yang, Dachun Yang
semanticscholar   +1 more source

A note on the Schrödinger maximal function

, 2016
It is shown that control of the Schrödinger maximal function sup0
J. Bourgain
semanticscholar   +1 more source

Spherical means on the Heisenberg group: Stability of a maximal function estimate

Journal d'Analyse Mathematique, 2018
Consider the surface measure μ on a sphere in a nonvertical hyperplane on the Heisenberg group ℍn, n ≥ 2, and the convolution f * μ. Form the associated maximal function Mf = supt>0 ∣f * μt∣ generated by the automorphic dilations.
T. Anderson, Laura Cladek, M. Pramanik, A. Seeger   +3 more
semanticscholar   +1 more source

Fractional maximal function and its commutators on Orlicz spaces

, 2018
In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator $$M_{\alpha }$$Mα on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator $$M_{b,\alpha
V. Guliyev, F. Deringoz, S. G. Hasanov
semanticscholar   +1 more source

Riesz Potential and Maximal Function for Dunkl transform

Potential Analysis, 2017
We study weighted (Lp, Lq)-boundedness properties of Riesz potentials and fractional maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy–Littlewood–Sobolev type inequality and weighted week (L1, Lq) estimate.
D. Gorbachev, V. Ivanov, S. Tikhonov
semanticscholar   +1 more source

Maximal function inequalities and a theorem of Birch

Israel Journal of Mathematics, 2017
In this paper we prove an analogue of the discrete spherical maximal theorem of Magyar, Stein and Wainger, an analogue which concerns maximal functions associated to homogenous algebraic hypersurfaces. Let p be a homogenous polynomial in n variables with
Brian Cook
semanticscholar   +1 more source

The Hardy-Littlewood maximal function, Choquet integrals, and embeddings of Sobolev type

Mathematische Annalen, 2021
K. H. Ooi, N. Phuc
semanticscholar   +1 more source

Spherical maximal function, maximal Bochner–Riesz mean and geometrical maximal function on Herz spaces with variable exponents

, 2020
K. Ho
semanticscholar   +1 more source