Results 71 to 80 of about 1,341 (119)

Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications

open access: yesOpen Mathematics, 2023
In this article, we introduce anisotropic mixed-norm Herz spaces K˙q→,a→α,p(Rn){\dot{K}}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb{R}}}^{n}) and Kq→,a→α,p(Rn){K}_{\overrightarrow{q},\overrightarrow{a}}^{\alpha ,p}\left({{\mathbb ...
Zhao Yichun, Zhou Jiang
doaj   +1 more source

Inversion of Weinstein intertwining operator and its dual using Weinstein wavelets

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we consider the Weinstein intertwining operator ℜa, dW and its dual tR a,dW. Using these operators, we give relations between the Weinstein and the classical continuous wavelet transforms.
Gasmi Abdessalem   +2 more
doaj   +1 more source

Hardy’s inequalities and integral operators on Herz-Morrey spaces

open access: yesOpen Mathematics, 2020
We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
doaj   +1 more source

Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part

open access: yesAdvances in Nonlinear Analysis, 2022
Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
doaj   +1 more source

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

open access: yes, 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

ON THE BOUNDEDNESS OF DUNKL-TYPE MAXIMAL COMMUTATORS IN THE DUNKL-TYPE MODIFIED MORREY SPACES

open access: yes, 2020
In this paper we consider the generalized shift operator, associated with the Dunkl operator and we investigate maximal commutators, commutators of singular integral operators and commutators of the fractional integral operators associated with the ...
S. Hasanli
semanticscholar   +1 more source

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

open access: yesJournal 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

Two-weighted inequalities for the fractional integral associated to the Schrödinger operator

open access: yes, 2020
In this article we prove that the fractional integral operator associated to the Schrödinger second order differential operator L −α/2 = (−Δ + V )−α/2 maps with continuity weak Lebesgue space Lp,∞(v) into weighted Campanato-Hölder type spaces BMOL (w ...
R. Crescimbeni   +2 more
semanticscholar   +1 more source

Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents

open access: yesOpen Mathematics, 2023
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
doaj   +1 more source

Some estimates for commutators of Littlewood-Paley g-functions

open access: yesOpen 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

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