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Matrix transforms in weighted variable exponent Lebesgue spaces
2022Summary: In this work, approximation properties of matrix transforms in the weighted variable exponent Lebesgue space of periodic functions are investigated.
Testici, Ahmet, Israfilov, Daniyal M.
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Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
Georgian Mathematical Journal, 2003Abstract In the weighted Lebesgue space with variable exponent the boundedness of the CalderΓ³nβZygmund operator is established. The variable exponent π(π₯) is assumed to satisfy the logarithmic Dini condition and the exponent Ξ² of the power weight Ο(π₯) = |π₯ β π₯0| Ξ² is related only to the value π(π₯0).
Kokilashvili, V., Samko, S.
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Porosity in Lebesgue spaces regarding weighted convolution
Asian-European Journal of MathematicsIn this paper, for some classes of weight functions [Formula: see text] on [Formula: see text], we study [Formula: see text]-[Formula: see text]-lower porosity of the set [Formula: see text] in [Formula: see text], where [Formula: see text] with [Formula: see text], [Formula: see text] is a compact symmetric neighborhood of the identity element of a ...
AliReza Bagheri Salec +2 more
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On Multipliers from Weighted Sobolev Spaces to Lebesgue Spaces
2017The aim of the paper is to obtain descriptions of multipliers acting from weighted Sobolev spaces \(W_{p,\rho }^{l} \) to \(L_{q,\omega }.\) The space \(W_{p,\rho }^{l}\) is defined as the completion of the set \(C_0^{\infty }\) in the following finite norm \(\Vert u;\, W_{p,\rho }^{l}\Vert = \Vert \rho |\nabla _{l} u|\Vert _{p} + \Vert u\Vert _{p ...
Leili Kussainova, Aigul Myrzagaliyeva
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Polynomial expansiveness and admissibility of weighted Lebesgue spaces
Czechoslovak Mathematical Journal, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space
Complex Variables and Elliptic Equations, 2011For the integral operator , xβββ(a,βb)ββββ, under some assumptions on the kernel K(x,βt)ββ₯β0 we find necessary and sufficient conditions for the validity of the following weighted inequality where AβC(a,βb) is a set of absolutely continuous functions with compact ...
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Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces
Analysis and Applications, 2023Dachun Yang, Wen Yuan
exaly

