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Approximation in weighted generalized grand Lebesgue spaces

Colloquium Mathematicum, 2015
Summary: The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of \(2\pi \)-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved.
Israfilov, Daniyal M., Testici, Ahmet
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Embedding derivatives of weighted Hardy spaces into Lebesgue spaces

Mathematical Proceedings of the Cambridge Philosophical Society, 1994
AbstractLet 1 ≤ p < ∞ and let ω be a non-negative function defined on the unit circle T which satisfies the Ap condition of Muckenhoupt. The weighted Hardy space Hp(ω) consists of those functions f in the classical Hardy space H1 whose boundary values belong to Lp(ω). Recently McPhail (Studia Math.
Girela, Daniel   +2 more
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Fourier–Bessel transforms from generalized Lipschitz spaces and weighted Lebesgue spaces

ANNALI DELL'UNIVERSITA' DI FERRARA, 2023
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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.
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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 Calderón–Zygmund operator is established. The variable exponent 𝑝(𝑥) is assumed to satisfy the logarithmic Dini condition and the exponent β of the power weight ρ(𝑥) = |𝑥 – 𝑥0| β is related only to the value 𝑝(𝑥0).
Kokilashvili, V., Samko, S.
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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
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The maximal operator on weighted variable Lebesgue spaces

Fractional Calculus and Applied Analysis, 2011
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Cruz-Uribe, David   +2 more
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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
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Polynomial expansiveness and admissibility of weighted Lebesgue spaces

Czechoslovak Mathematical Journal, 2020
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Boundedness of integral operators from weighted Sobolev space to weighted Lebesgue space

Complex Variables and Elliptic Equations, 2011
For the integral operator , x ∈ (a, b) ⊆ ℝ, under some assumptions on the kernel K(x, t) ≥ 0 we find necessary and sufficient conditions for the validity of the following weighted inequality where A○C(a, b) is a set of absolutely continuous functions with compact ...
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