Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique [PDF]
A microwave characterization technique to inspect subsurface scenarios is proposed and numerically assessed in this paper. The approach is based on a combination of finite element electromagnetic modeling and an inversion procedure in Lebesgue spaces ...
Valentina Schenone +5 more
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Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent
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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Approximation problems in the Lebesgue spaces with variable exponent
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İsrafilov, Daniyal M., Testici, Ahmet
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Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels [PDF]
In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by B M O $BMO$ functions and multilinear singular integral operators with generalized kernels.
Yan Lin, Nan Zhang
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Littlewood-Paley Operators on Morrey Spaces with Variable Exponent [PDF]
By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g ...
Shuangping Tao, Lijuan Wang
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Approximation by Matrix Transforms in Weighted Lebesgue Spaces with Variable Exponent
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Israfilov, Daniyal M., Testici, Ahmet
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Weighted Sobolev theorem in Lebesgue spaces with variable exponent
This paper deals with Sobolev inequalities for Riesz potentials in variable exponent spaces with weights. The weights are radial and it is assumed that their growth is constrained by two polynomials of appropriate exponents. The variable exponent is \(\log\)-Hölder continuous, and the index \(\alpha\) of the Riesz potential \(I_\alpha\) is allowed to ...
Samko, N. G. +2 more
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Approximation by Faber–Laurent rational functions in Lebesgue spaces with variable exponent
Suppose that \(\Gamma\) is a rectifiable Dini-smooth curve on the complex plane. Denote by \(L^{p(\cdot)}(\Gamma)\) the Lebesgue space on \(\Gamma\) with variable exponent \(p(\cdot)\). Under some conditions on \(p(\cdot)\), the authors estimate the rate of convergence of the Faber-Laurent series generated by \(\Gamma\) and \(f\in L^{p(\cdot)}(\Gamma)\)
Israfilov, Daniyal M., Testici, Ahmet
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Variable exponent Bochner–Lebesgue spaces with symmetric gradient structure [PDF]
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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In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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