Results 1 to 10 of about 18,802 (182)
Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent
Journal of Numerical Analysis and Approximation Theory, 2021 In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
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International Journal of Analysis and Applications, 2022 In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·).
Junichi Aramaki
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Local grand variable exponent Lebesgue spaces
Zeitschrift für Analysis und ihre Anwendungen, 2023 We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is “aggrandized” only at a given closed set F of measure zero.
Rafeiro, Humberto, Samko, Stefan
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Variable exponent Bochner–Lebesgue spaces with symmetric gradient structure [PDF]
Journal of Mathematical Analysis and Applications, 2021 The authors consider an initial-boundary value problem driven by a nonlinear monotone operator, depending on the symmetric part of the gradient, having variable exponent growth with a lower order term and suitable data. To study the existence of solutions for the problem, the authors introduce a functional framework built upon variable \(\log\)-Hölder ...
Kaltenbach, Alex, Růžička, Michael
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Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces [PDF]
Journal of Inequalities and Applications, 2013 The authors consider bilinear multipliers of the form \[ (f,g) \mapsto \int \limits _{\mathbb{R}^{n}} \int \limits _{\mathbb{R}^{n}} \widehat{f}(\xi)\widehat{g}(\eta)m(\xi,\eta)\exp(2i\pi \langle \cdot, \xi+\eta \rangle)d\xi d\eta, \] acting on weighted or variable exponent \(L^p\) spaces (here \(m\in L^{\infty}(\mathbb{R}^{2n};\mathbb{C})\)).
Kulak, Oznur, Gurkanli, A. Turan
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Modular Geometric Properties in Variable Exponent Spaces
Mathematics, 2022 Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is ...
Mohamed A. Khamsi +2 more
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THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES [PDF]
International Journal of Apllied Mathematics, 2017 In this paper, we study a capacity theory based on a definition of a Riesz potential in the Euclidean space. Also, we define the Riesz (α, p(.))- capacity and discuss the properties of the capacity in the variable exponent Lebesgue space Lp(.)(ℝn). © 2017 Academic Publications.
Ünal, Cihan, Aydin, Ismail
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Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces
SIAM Journal on Scientific Computing, 2022 We consider structured optimisation problems defined in terms of the sum of a smooth and convex function, and a proper, l.s.c., convex (typically non-smooth) one in reflexive variable exponent Lebesgue spaces $L_{p(\cdot)}(Ω)$. Due to their intrinsic space-variant properties, such spaces can be naturally used as solution space and combined with space ...
Lazzaretti, Marta +2 more
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A Through-the-Wall Imaging Approach Based on a TSVD/Variable-Exponent Lebesgue-Space Method
Remote Sensing, 2021 A hybrid inversion scheme for through-the-wall imaging is proposed in this paper. The approach is based on a linearized model of the inverse-scattering problem, employing the Green’s function developed for a layered background.
Andrea Randazzo +6 more
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Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]
, 2014 In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
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