Results 71 to 80 of about 126 (123)

A Sharp Estimate For The Hardy-Littlewood Maximal Function [PDF]

, 2000
. The best constant in the usual L p norm inequality for the centered Hardy-Littlewood maximal function on R 1 is obtained for the class of all "peak-shaped" functions.
Olexei Motrunich, Loukas Grafakos Stephen   +1 more
core  

A generalization of the boundedness of certain integral operators in variable Lebesgue spaces [PDF]

, 2018
Let $A_{1},...A_{m}$ be a $n\times n$ invertible matrices.
Urciuolo, Marta Susana, Vallejos, Lucas Alejandro   +1 more
core   +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

B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spaces

Open Mathematics, 2020
In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J., Ayazoglu Rabil, Bayrakci Simten   +2 more
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

Regularity of one-sided multilinear fractional maximal functions

Open Mathematics, 2018
In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case.
Liu Feng, Xu Lei
doaj   +1 more source

Two weight estimates for a class of (p, q) type sublinear operators and their commutators

Open Mathematics, 2019
In the present paper, the authors investigate the two weight, weak-(p, q) type norm inequalities for a class of sublinear operators 𝓣γ and their commutators [b, 𝓣γ] on weighted Morrey and Amalgam spaces.
Yunpeng Hu, Jiang Zhou, Yonghui Cao
doaj   +1 more source

Embeddings of harmonic mixed norm spaces on smoothly bounded domains in ℝn

Open Mathematics, 2019
The main result of this paper is the ...
Arsenović Miloš, Jovanović Tanja
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

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