Results 201 to 210 of about 34,241 (243)

Strict Embeddings of Rearrangement Invariant Spaces

Doklady Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Astashkin, S. V., Semenov, E. M.
openaire   +2 more sources

Orthogonal Elements in Nonseparable Rearrangement Invariant Spaces

Doklady Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Astashkin, S. V., Semenov, E. M.
openaire   +1 more source

Bases of rearrangement invariant spaces

Russian Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazarian, K. S., Semenov, E. M., Uksusov, S. N.   +2 more
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

The Hilbert Transform on Rearrangement-Invariant Spaces

Canadian Journal of Mathematics, 1967
The purpose of this paper is to investigate conditions under which the Hilbert transform defines a bounded linear operator from a given function space into itself. The spaces with which we deal have the property of rearrangement-invariance which is defined in §1. This class of spaces includes the Lebesgue, Orlicz, and Lorentz spaces.
openaire   +2 more sources