Results 11 to 20 of about 295,908 (279)
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
doaj +3 more sources
Interpolation in variable exponent spaces [PDF]
Revista Matemática Complutense, 2014 In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces.
A Almeida +33 more
core +6 more sources
Recovering a variable exponent
Documenta Mathematica, 2021 We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x) -Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements.
Brander, Tommi, Siltakoski, Jarkko
openaire +6 more sources
Variable Anisotropic Hardy Spaces with Variable Exponents [PDF]
Analysis and Geometry in Metric Spaces, 2021 Abstract Let p(·) : ℝ n → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝ n introduced by Dekel et al. [12].
Yang Zhenzhen +3 more
openaire +3 more sources
Methods of Retrieving Large-Variable Exponents [PDF]
Symmetry, 2022 Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Padé summation, self-similar factor approximation, self-similar diff-log summation, self-similar Borel summation, and self-similar Borel–Leroy summation.
Vyacheslav I. Yukalov, Simon Gluzman
openaire +2 more sources
Variable exponent Fock spaces [PDF]
Czechoslovak Mathematical Journal, 2019 In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
openaire +3 more sources
Variable Exponent Besov–Morrey Spaces [PDF]
Journal of Fourier Analysis and Applications, 2020 In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in ...
Almeida, Alexandre, Caetano, António
openaire +4 more sources
An eigenvalue problem with variable exponents [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2013 A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a "variable infinity" is treated. Local uniqueness is proved for the viscosity solutions.
FRANZINA, GIOVANNI, Lindqvist, Peter
openaire +7 more sources
A variable exponent boundedness of the Steklov operator [PDF]
Mathematical Inequalities & Applications, 2021 Summary: In this paper, a sufficiency condition for boundedness of the Steklov operator \[ S_hf(x)=\frac{1}{h}\int^{x+h}_xf(t)dt,\quad h>0 \] has been proved in variable exponent Lebesgue space \(L^{p(.)}(0,\infty)\). Here an infinite interval \((0,\infty)\) has been considered with a new decay condition on infinity. A finite interval \([0,2\pi]\) case
openaire +3 more sources
Universal Singular Exponents in Catalytic Variable Equations [PDF]
Journal of Combinatorial Theory, Series A, 2021 Catalytic equations appear in several combinatorial applications, most notably in the numeration of lattice path and in the enumeration of planar maps. The main purpose of this paper is to show that the asymptotic estimate for the coefficients of the solutions of (so-called) positive catalytic equations has a universal asymptotic behavior.
Drmota, Michael +2 more
openaire +5 more sources