Results 71 to 80 of about 1,610 (98)

The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

Journal of Inequalities and Applications, 2019
Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation.
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano   +2 more
doaj   +1 more source

Averages Along the Primes: Improving and Sparse Bounds

Concrete Operators, 2020
Consider averages along the prime integers ℙ given ...
Han Rui, Krause Ben, Lacey Michael T., Yang Fan   +3 more
doaj   +1 more source

Commutators of Littlewood-Paley gκ∗$g_{\kappa}^{*} $-functions on non-homogeneous metric measure spaces

Open Mathematics, 2017
The main purpose of this paper is to prove that the boundedness of the commutator Mκ,b∗$\mathcal{M}_{\kappa,b}^{*} $ generated by the Littlewood-Paley operator Mκ∗$\mathcal{M}_{\kappa}^{*} $ and RBMO (μ) function on non-homogeneous metric measure ...
Lu Guanghui, Tao Shuangping
doaj   +1 more source

Embeddings between Triebel-Lizorkin Spaces on Metric Spaces Associated with Operators

Analysis and Geometry in Metric Spaces, 2020
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization.
Georgiadis Athanasios G., Kyriazis George   +1 more
doaj   +1 more source

Real-Variable Characterizations of Hardy–Lorentz Spaces on Spaces of Homogeneous Type with Applications to Real Interpolation and Boundedness of Calderón–Zygmund Operators

Analysis and Geometry in Metric Spaces, 2020
Let (𝒳, d, μ) be a space of homogeneous type, in the sense of Coifman and Weiss, with the upper dimension ω. Assume that η ∈(0, 1) is the smoothness index of the wavelets on 𝒳 constructed by Auscher and Hytönen.
Zhou Xilin, He Ziyi, Yang Dachun
doaj   +1 more source

Bloom-type two-weight inequalities for commutators of maximal functions

Analysis and Geometry in Metric Spaces
We study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
doaj   +1 more source

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Demonstratio Mathematica
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new
Zhang Pu, Fan Di
doaj   +1 more source

Degrees of maps and multiscale geometry

Forum of Mathematics, Pi
We study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov, Larry Guth, Fedor Manin   +2 more
doaj   +1 more source

Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions. [PDF]

J Inequal Appl, 2017
Hu Y, Wang Y.
europepmc   +1 more source

Some inequalities for Cesàro means of double Vilenkin-Fourier series. [PDF]

J Inequal Appl, 2018
Tepnadze T, Persson LE.
europepmc   +1 more source