Results 61 to 70 of about 118,444 (224)

Boundedness of Commutators of High-Dimensional Hausdorff Operators

open access: yesJournal of Function Spaces and Applications, 2012
We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.
Guilian Gao, Houyu Jia
doaj   +1 more source

Weighted Estimates for Commutator of Rough p-Adic Fractional Hardy Operator on Weighted p-Adic Herz–Morrey Spaces

open access: yesJournal of Mathematics, 2021
The current article investigates the boundedness criteria for the commutator of rough p-adic fractional Hardy operator on weighted p-adic Lebesgue and Herz-type spaces with the symbol function from weighted p-adic bounded mean oscillations and weighted p-
Naqash Sarfraz   +3 more
doaj   +1 more source

Best approximation by «angle» and the absolute Cesàro summability of double Fourier series

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
This article is devoted to the topic of absolute summation of series or Cesaro summation. The relevance of this article lies in the fact that a type of absolute summation with vector index which has not been previously studied is considered.
S. Bitimkhan, O. Mekesh
doaj   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang   +2 more
wiley   +1 more source

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis   +1 more
wiley   +1 more source

Convolution Algebraic Structures Defined by Hardy-Type Operators

open access: yesJournal of Function Spaces and Applications, 2013
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana   +2 more
doaj   +1 more source

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

open access: yesDemonstratio Mathematica, 2017
The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent.
Jafarov Sadulla Z.
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

Calculation of radiation in shockwave layer of a space vehicle taking into account details of photon spectrum [PDF]

open access: yesКомпьютерные исследования и моделирование, 2017
Calculations of radiation transport in the shockwave layer of a descent space vehicle cause essential difficulties due to complex multi-resonance dependence of the absorption macroscopic cross sections from the photon energy.
Elena Nikolaevna Aristova   +2 more
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

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