Results 201 to 210 of about 14,061 (244)

Strict Embeddings of Rearrangement Invariant Spaces

Doklady Mathematics, 2018
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Astashkin, S. V., Semenov, E. M.
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Orthogonal Elements in Nonseparable Rearrangement Invariant Spaces

Doklady Mathematics, 2020
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Astashkin, S. V., Semenov, E. M.
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Bases of rearrangement invariant spaces

Russian Mathematics, 2008
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Kazarian, K. S., Semenov, E. M., Uksusov, S. N.   +2 more
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Orthogonality in nonseparable rearrangement-invariant spaces

Sbornik: Mathematics, 2021
Abstract Let be a nonseparable rearrangement-invariant space and let
Astashkin, Sergei V., Semenov, Evgenii M.   +1 more
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Strictly Singular Embeddings Between Rearrangement Invariant Spaces

Positivity, 2003
The main result of the present paper, namely: ``The canonical embedding of a rearrangement-invariant Banach space \(E\) into \(L_{1}\) is not strictly singular if and only if \(E\supset G\), where \(G\) denotes the closure of \(L_{\infty}\) in the Orlicz space \(L_{M}\), generated by the Orlicz function \(M(u)=\exp\left( u^{2}\right) -1\)'' was ...
Hernandez, F. L., Novikov, S. Ya., Semenov, E. M.   +2 more
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Symmetric Polynomials on Rearrangement-Invariant Function Spaces

Journal of the London Mathematical Society, 1999
We give here the exact representation of symmetric polynomials on Banach spaces with symmetric basis and also on separable r.i. function spaces over \([0,1]\) and \([0,\infty)\). As a consequence of this representation we obtain that, among these spaces, \(\ell_{2n}\), \(L_{2n}[0,1]\), \(L_{2n}[0,\infty)\) and \(L_{2n} [0,\infty)\cap L_{2m}[0,\infty)\),
González, Manuel, Gonzalo, Raquel, Jaramillo, Jesús Angel   +2 more
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Local Khintchine inequality in rearrangement invariant spaces

Annali di Matematica Pura ed Applicata (1923 -), 2013
This paper is devoted to analyse the local version of the Kinchin inequality in rearrangement invariant (r.i.)\ Banach function spaces. An r.i.\ space \(X\) satisfies this property if there are constants \(\alpha, \beta >0\) such that for every measurable set \(E \subset [0,1]\) with \(m(E) >0\) there exists \(N:=N(E)\) such that \[ \alpha \varphi_X(m ...
Astashkin, Serguey V., Curbera, Guillermo P.   +1 more
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Absolutely Continuous Embeddings of Rearrangement-Invariant Spaces

Mediterranean Journal of Mathematics, 2010
This paper is devoted to the study of absolutely continuous embeddings between rearrangement invariant spaces, a property closely related to compactness (see, for instance, \textit{E.~Pustylnik} [``On compactness of Sobolev embeddings in rearrangement-invariant spaces'', Forum Math. 18, No.~5, 839--852 (2006; Zbl 1120.46019)]).
Fernández-Martínez, Pedro, Manzano, Antonio, Pustylnik, Evgeniy   +2 more
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