Results 91 to 100 of about 1,697 (123)

On the L p-boundedness of Calderón-Zygmund operators

Advanced Nonlinear Studies
The main result in this paper is that, for singular integral operators associated with standard kernels, local L 1-estimates imply global L p-estimates for every p ∈ (1, ∞).
Mitrea Dorina, Mitrea Marius
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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
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Abstract-valued Orlicz spaces of range-varying type

Open Mathematics, 2018
This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \
Zhang Qinghua
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Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces

Open Mathematics
In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
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Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$

Advanced Nonlinear Studies
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao, Yang Fan, Cheng Tingzhi, Zhou Chunqin   +3 more
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A new perspective on the Riesz potential

Advances in Nonlinear Analysis, 2017
This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only 𝔏q,q⁢p-1⁢(n-α⁢p)∩𝔏p,κ-α⁢p\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains Iα⁢Lp,κ{I_{\alpha}L^{p,\kappa ...
Xiao Jie
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Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces

Demonstratio Mathematica
This study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
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Symmetric Besov-Bessel Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
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Gradient estimates for a class of higher-order elliptic equations of p-growth over a nonsmooth domain

Advances in Nonlinear Analysis
This article is devoted to a global Calderón-Zygmund estimate in the framework of Lorentz spaces for the mm-order gradients of weak solution to a higher-order elliptic equation with pp-growth.
Tian Hong, Zheng Shenzhou
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Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
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