Results 11 to 20 of about 126 (123)

Oscillatory hyper-Hilbert transform on Wiener amalgam spaces

Open Mathematics, 2021
We study the boundedness of the oscillatory integral Tα,βf(x,y)=∫Q2f(x−γ1(t),y−γ2(s))e−2πit−β1s−β2t−α1−1s−α2−1dtds{T}_{\alpha ,\beta }f\left(x,y)=\mathop{\int }\limits_{{Q}^{2}}f\left(x-{\gamma }_{1}\left(t),y-{\gamma }_{2}\left(s)){e}^{-2\pi i{t ...
Sun Wei, Xie Ru-Long, Xu Liang-Yu
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Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators

Open Mathematics, 2021
In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
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Hardy spaces associated with some anisotropic mixed-norm Herz spaces and their applications

Open 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
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Estimates for bilinear θ-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces

Analysis and Geometry in Metric Spaces, 2023
Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui, Wang Miaomiao, Tao Shuangping   +2 more
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Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

Advances in Nonlinear Analysis, 2019
Let
Huang Jizheng, Li Pengtao, Liu Yu
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Variable Anisotropic Hardy Spaces with Variable Exponents

Analysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
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Variable Hardy and Hardy-Lorentz spaces and applications in Fourier analysis [PDF]

, 2018
We summarize some results about the variable Hardy and Hardy d  d Lorentz spaces Hp(·)(R ) and Hp(·),q (R ) and about the θ-summability of multidimensional Fourier transforms. We prove that the maximal operator of the     ...  means is bounded from Hp(·)(
WEISZ, Ferenc
core   +2 more sources

Weighted Variable Exponent Sobolev spaces on metric measure spaces

Moroccan Journal of Pure and Applied Analysis, 2018
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

Open Mathematics, 2018
The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
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Stein-Weiss inequality for local mixed radial-angular Morrey spaces

Open Mathematics, 2022
In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
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