Results 1 to 10 of about 14,061 (244)
The Level function in rearrangement invariant spaces [PDF]
Publicacions Matemàtiques, 2001 An exact expression for the down norm is given in terms of the level function on all rearrangement invariant spaces and a useful approximate expression is given for the down norm on all rearrangement invariant spaces whose upper Boyd index is not ...
Sinnamon, Gord
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A Hausdorff-Young theorem for rearrangement-invariant spaces [PDF]
Pacific Journal of Mathematics, 1973 The classical Hausdorff-Young theorem is extended to the setting of rearrangement-invariant spaces. More precisely, if 1
Bennett, Colin
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Cones generated by a generalized fractional maximal function [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and
N.А. Bokayev +2 more
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Subspaces of Rearrangement-Invariant Spaces [PDF]
Canadian Journal of Mathematics, 1996 AbstractWe prove a number of results concerning the embedding of a Banach lattice X into an r. i. space Y. For example we show that if Y is an r. i. space on [0, ∞) which is p-convex for some p > 2 and has nontrivial concavity then any Banach lattice X which is r-convex for some r > 2 and embeds into Y must embed as a sublattice.
Hernandez, Francisco L. +1 more
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SURJECTIVE ISOMETRIES ON REARRANGEMENT-INVARIANT SPACES [PDF]
The Quarterly Journal of Mathematics, 1994 We prove that if $X$ is a real rearrangement-invariant function space on $[0,1]$, which is not isometrically isomorphic to $L_2,$ then every surjective isometry $T:X\to X$ is of the form $Tf(s)=a(s)f( (s))$ for a Borel function $a$ and an invertible Borel map $ :[0,1] \to [0,1].$ If $X$ is not equal to $L_p$, up to renorming, for some $1\le p\le ...
Kalton, N. J., Randrianantoanina, Beata
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Factorization property in rearrangement invariant spaces
Advances in Operator Theory, 2023 Let $X$ be a Banach space with a basis $(e_k)_k$ and biorthogonals $(e^\ast_k)_k$. An operator on $X$ is said to have a $\textit {large diagonal}$ if $\inf\limits_{k} |e_k^\ast(T(e_k))| > 0$. The basis $(e_k)_k$ is said to have the $\textit {factorization property}$ if the identity factors through any operator with a large diagonal.
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Mixed norm spaces and rearrangement invariant estimates [PDF]
, 2014 Our main goal in this work is to further improve the mixed norm estimates due to Fournier, and also Algervik and Kolyada, to more general rearrangement invariant (r.i.) spaces.
Clavero, Nadia, Soria, Javier
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On boundedness of the Hilbert transform on Marcinkiewicz spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and
N.T. Bekbayev, K.S. Tulenov
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Symmetric polynomials on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 A survey of general results about symmetric polynomials on Banach spaces and rearrangement-invariant function spaces and some new results in this area are given. Some applications to Banach algebras are represented.
I. V. Chernega
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A Homomorphism Theorem for Bilinear Multipliers [PDF]
, 2012 In this paper we prove an abstract homomorphism theorem for bilinear multipliers in the setting of locally compact Abelian (LCA) groups. We also provide some applications. In particular, we obtain a bilinear abstract version of K.
Rodríguez-López, Salvador
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