Results 11 to 20 of about 296,333 (284)

Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces

Journal of Function Spaces and Applications, 2012
We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
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Capacitary characterization of variable exponent Sobolev trace spaces

Moroccan Journal of Pure and Applied Analysis, 2022
Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω)f \in \mathcal{C}\left( {\bar \Omega } \right) \cap W_0^{1,p\left( . \right)}\left( \Omega \right).
Berghout Mohamed
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Variable exponent Sobolev spaces associated with Jacobi expansions [PDF]

, 2016
In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent potential spaces and as variable exponent Triebel-Lizorkin type spaces ...
Almeida, V., Betancor, J. J., Castro, A. J., Sanabria, A., Scotto, R.   +4 more
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Nonlocal eigenvalue problems with variable exponent

Moroccan Journal of Pure and Applied Analysis, 2018
We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
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Delayed wave equation with logarithmic variable-exponent nonlinearity

Electronic Research Archive, 2023
A delayed nonlinear wave equation with variable exponents of logarithmic type is discussed in this paper. In the presence of the logarithmic nonlinear source, we established a global existence result under sufficient conditions on the initial data only ...
Mohammad Kafini , Maher Noor
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Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

Journal of Function Spaces, 2019
In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
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Function Spaces with a Random Variable Exponent

Abstract and Applied Analysis, 2011
The spaces with a random variable exponent 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω) are introduced. After discussing the properties of the spaces 𝐿𝑝(𝜔)(𝐷×Ω) and 𝑊𝑘,𝑝(𝜔)(𝐷×Ω), we give an application of these spaces to the stochastic partial differential equations with
Boping Tian, Yongqiang Fu, Bochi Xu
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Infinitely Many Periodic Solutions for Variable Exponent Systems

Journal of Inequalities and Applications, 2009
We mainly consider the system −Δp(x)u=f(v)+h(u) in ℝ, −Δq(x)v=g(u)+ω(v) in ℝ, where 1<p(x),q(x)∈C1(ℝ) are periodic functions, and −Δp(x)u=−(|u′|p(x)− ...
Xiaoli Guo, Mingxin Lu, Qihu Zhang
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Boundedness of some operators on grand Herz spaces with variable exponent

AIMS Mathematics, 2023
Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying ...
Mehvish Sultan, Babar Sultan, Ahmad Aloqaily, Nabil Mlaiki   +3 more
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Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels

Journal of Function Spaces, 2017
We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its ...
Hongbin Wang, Jiajia Wang, Zunwei Fu
doaj   +1 more source