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Complex Interpolation of Modified Weighted Grand Lebesgue Spaces
Mediterranean Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dina Nur Amalina +4 more
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Transference results on weighted Lebesgue spaces
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2008We present some transference results for a convolution operator with kernel K which is bounded from Lp0 (w0) into Lp1 (w1).
María J. Carro, Salvador Rodríguez
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Extrapolation in Grand Lebesgue Spaces with A∞ Weights
Mathematical Notes, 2018Results on extrapolation withA∞ weights in grand Lebesgue spaces are obtained. Generally, these spaces are defined with respect to the productmeasure μ1 ×· · ·×μn onX1 ×· · ·×Xn, where (Xi, di, μi), i = 1,..., n, are spaces of homogeneous type. As applications of the obtained results, new one-weight estimates with A∞ weights for operators of harmonic ...
V. Kokilashvili, A. Meskhi
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On Basicity of a Certain Trigonometric System in a Weighted Lebesgue Space
Lobachevskii Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 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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Embedding derivatives of weighted Hardy spaces into Lebesgue spaces
Mathematical Proceedings of the Cambridge Philosophical Society, 1994AbstractLet 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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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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On orthonormal polynomial bases in weighted Lebesgue spaces
Russian Mathematical Surveys, 1988This is just an announcement of some new results. The main theorem establishes a sufficient condition for a weight \(\Omega\) defined on \((- 1,1)^ m\) that the product system \(\bigwedge^{m}_{i=1}P^{(i)}_{n_ i}(x_ i)\), \(n=(n_ 1,...,n_ m)\), \(X=(x_ 1,...,x_ m)\) be a basis in \(L^ r_{\Omega}\) \(((-1,1)^ m)\), where \(P_{n_ i}^{(i)}\) are orthogonal
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