Results 11 to 20 of about 14,061 (244)
Optimal Couples of Rearrangement Invariant Spaces for Generalized Maximal Operators
Journal of Function Spaces, 2014 The optimal couples of rearrangement invariant spaces for boundedness of a generalized maximal operator, associated with a quasiconcave function, have been characterized in terms of certain indices connected with rearrangement invariant spaces and ...
Irshaad Ahmed, Waqas Nazeer
doaj +1 more source
New classes of rearrangement-invariant spaces appearing in extreme cases of weak interpolation
Journal of Function Spaces and Applications, 2006 We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement-invariant space with respect to the measure dt/t. When spaces L?,E are not “too
Evgeniy Pustylnik, Teresa Signes
doaj +1 more source
Lushness, numerical index 1 and the Daugavet property in rearrangement invariant spaces [PDF]
, 2011 We show that for spaces with 1-unconditional bases lushness, the alternative Daugavet property and numerical index~1 are equivalent. In the class of rearrangement invariant (r.i.)\ sequence spaces the only examples of spaces with these properties are ...
Kadets, Vladimir +3 more
core +2 more sources
The strong Fatou property of risk measures
Dependence Modeling, 2018 In this paper, we explore several Fatou-type properties of risk measures. The paper continues to reveal that the strong Fatou property,whichwas introduced in [19], seems to be most suitable to ensure nice dual representations of risk measures.
Chen Shengzhong +2 more
doaj +1 more source
Weak-type boundedness of the Fourier transform on rearrangement invariant function spacest [PDF]
, 2018 We study several questions about the weak-type boundedness of the Fourier transform F on rearrangement invariant spaces. In particular, we characterize the action of F as a bounded operator from the minimal Lorentz space ¿(X) into the Marcinkiewicz ...
Boza Rocho, Santiago +1 more
core +2 more sources
The Hardy-Littlewood maximal type operators between Banach function spaces [PDF]
, 2012 We investigate variants of the maximal operator and show their applications to study boundedness of the classical Hardy-Littlewood maximal operator between weighted Banach function spaces which satisfy certain geometrical lattice conditions.
Mastylo, Mieczyslaw +1 more
core +1 more source
About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
International Journal of Mathematics and Mathematical Sciences, 2001 The Rademacher series in rearrangement invariant function spaces close to the space L∞ are considered. In terms of interpolation theory of operators, a correspondence between such spaces and spaces of coefficients generated by them is stated.
Sergey V. Astashkin
doaj +1 more source
Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
core +2 more sources
RUC systems in rearrangement invariant spaces [PDF]
Studia Mathematica, 2002 An RUC (randomly unconditionally converging) system in a Banach space \(X\) is a biorthogonal system \((x_j,x_j^\ast)\) in \(X\times X^\ast\) such that for every \(x\) in the closed linear span of the \(x_n\), the series \(\sum\limits_{j=1}^\infty r_j(t)x_j^\ast(x)x_j\) converges for almost all \(t\in[0,1]\), where \(\{r_n\}_{n=1}^\infty\) denotes the ...
Dodds, P. G. +2 more
openaire +2 more sources
Optimal Regularity Properties of the Generalized Sobolev Spaces
Journal of Function Spaces and Applications, 2013 We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
G. E. Karadzhov, Qaisar Mehmood
doaj +1 more source