Results 31 to 40 of about 25,777 (261)
Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]
Mathematica Moravica, 2019 In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
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A Picone identity for variable exponent operators and applications [PDF]
Advances in Nonlinear Analysis, 2019 Abstract In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u| p(x)−2 ∇ u). Our extension provides a new version of the Diaz-Saa inequality and new uniqueness results to some quasilinear elliptic equations with variable exponents.
Arora Rakesh +2 more
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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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Boundedness of fractional integrals on weighted Herz spaces with variable exponent
Journal of Inequalities and Applications, 2016 Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
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Journal of Function Spaces, 2021 In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés +1 more
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Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
Journal of Mathematics, 2022 This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean ...
Amjad Hussain, Muhammad Asim, Fahd Jarad
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Multiplication Semigroups in Variable Exponent Lebesgue Spaces
MathematicsThis paper studies multiplication operators and their associated strongly continuous semigroups acting on variable exponent Lebesgue spaces. We study the abstract Cauchy problem u˙(t)=Au(t), u(0)=u0, in the space Lp(x)(0,ℓ) with ℓ>0, where the generator ...
Mostafa Bachar, Huda Alrashdi
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Ground state solution for a class of supercritical nonlocal equations with variable exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical variable exponent nonlinearities by applying the variational method and approximation techniques. We apply
Xiaojing Feng
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IET Image Processing, 2021 This study presents a variational image restoration algorithm based on variable exponential fractional‐order total variation (TV), variable exponential integer‐order TV and tight frame sparse regularization.
Yingmei Wang, Zhendong Wang
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Lorentz spaces with variable exponents [PDF]
Mathematische Nachrichten, 2013 We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Kempka, Henning, Vybíral, Jan
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