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Matrix transforms in weighted variable exponent Lebesgue spaces

2022
Summary: 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.
openaire   +2 more sources

Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent

Georgian Mathematical Journal, 2003
Abstract In the weighted Lebesgue space with variable exponent the boundedness of the CalderΓ³n–Zygmund operator is established. The variable exponent 𝑝(π‘₯) is assumed to satisfy the logarithmic Dini condition and the exponent Ξ² of the power weight ρ(π‘₯) = |π‘₯ – π‘₯0| Ξ² is related only to the value 𝑝(π‘₯0).
Kokilashvili, V., Samko, S.
openaire   +2 more sources

Porosity in Lebesgue spaces regarding weighted convolution

Asian-European Journal of Mathematics
In 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
openaire   +1 more source

On Multipliers from Weighted Sobolev Spaces to Lebesgue Spaces

2017
The 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
openaire   +1 more source

Polynomial expansiveness and admissibility of weighted Lebesgue spaces

Czechoslovak Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space

Complex Variables and Elliptic Equations, 2011
For the integral operator , xβ€‰βˆˆβ€‰(a, b)β€‰βŠ†β€‰β„, under some assumptions on the kernel K(x, t) β‰₯ 0 we find necessary and sufficient conditions for the validity of the following weighted inequality where Aβ—‹C(a, b) is a set of absolutely continuous functions with compact ...
openaire   +1 more source

Weighted Lebesgue spaces

2020
Yoshihiro Sawano   +2 more
openaire   +1 more source

Parallel State Fusion LSTM-based Early-cycle Stage Lithium-ion Battery RUL Prediction Under Lebesgue Sampling Framework

Reliability Engineering and System Safety, 2023
Guangzheng Lyu, Heng Zhang, Qiang Miao
exaly  

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