Results 81 to 90 of about 1,960 (141)

Some estimates for commutators of Littlewood-Paley g-functions

Open Mathematics, 2021
The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
doaj   +1 more source

Some Entropy Bump Conditions for Fractional Maximal and Integral Operators

, 2015
We investigate weighted inequalities for fractional maximal operators and fractional integral operators. We work within the innovative framework of "entropy bounds" introduced by Treil--Volberg.
Rahm, Robert, Spencer, Scott
core   +2 more sources

Boundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent

Journal of Inequalities and Applications, 2014
The aim of this paper is to establish the vector-valued inequalities for Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and gμ∗-functions, and their commutators on the Herz-Morrey spaces with variable ...
Lijuan Wang, S. Tao
semanticscholar   +1 more source

Boundedness of fractional sublinear operators on weighted grand Herz-Morrey spaces with variable exponents

Open Mathematics
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
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

Weighted decoupling estimates and the Bochner-Riesz means

Forum of Mathematics, Sigma
We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for ...
Jongchon Kim
doaj   +1 more source

Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces

Open Mathematics, 2020
In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif, Armutcu Hatice, Azeroglu Tahir   +2 more
doaj   +1 more source

The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application

, 2016
The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents is given. As its application, the boundedness of a convolution type singular integral on HerzMorrey-Hardy spaces with variable exponents is obtained.
Jingshi Xu, Xiaodi Yang
semanticscholar   +1 more source

Fractional type Marcinkiewicz integral operators associated to surfaces

Journal of Inequalities and Applications, 2013
In this paper, we discuss the boundedness of the fractional type Marcinkiewicz integral operators associated to surfaces, and we extend a result given by Chen et al. (J. Math. Anal. Appl. 276:691-708, 2002).
Y. Sawano, K. Yabuta
semanticscholar   +1 more source

Weighted estimates for bilinear fractional integral operator of iterated product commutators on Morrey spaces

Journal of Mathematical Inequalities, 2020
In this paper we prove several weighted estimates for iterated product commutators generated by BMO-functions and the bilinear fractional integral operators on Morrey spaces.
Xi ng Li, Qian un He, Dun an Yan
semanticscholar   +1 more source