Results 21 to 30 of about 3,261,817 (215)
Mathematics, 2020 In this paper, we prove two generalized concentration-compactness principles for variable exponent Lebesgue spaces and as an application study the asymptotic behaviour of low energy extremals.
Zia Bashir +3 more
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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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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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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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Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces [PDF]
, 2022 CRUE-CSIC (Acuerdos Transformativos 2022)Relative weakly compact sets and weak convergence in variable exponent Lebesgue spaces L p(·) () for infinite measure spaces (, μ) are characterized. Criteria recently obtained in [14] for finite measures are here
Francisco L. Hernández +5 more
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Relatively compact sets in variable-exponent Lebesgue spaces
, 2020 We study totally bounded sets in variable Lebesgue spaces. The full characterization of this kind of sets is given for the case of variable Lebesgue space on metric measure spaces.
Górka P.L., Bandaliyev R.
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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 ...
Marta Lazzaretti +2 more
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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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On Some Properties of Convolutions in Variable Exponent Lebesgue Spaces
Complex Analysis and Operator Theory, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniyal M. Israfilov, Elife Yirtici
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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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