Results 1 to 10 of about 125,644 (103)

Set-Valued T-Translative Functions and Their Applications in Finance

open access: yesMathematics, 2021
A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued random
Andreas H. Hamel, Frank Heyde
doaj   +1 more source

Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces

open access: yesAxioms, 2022
We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
doaj   +1 more source

Positive definite functions and dual pairs of locally convex spaces [PDF]

open access: yesOpuscula Mathematica, 2018
Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive
Daniel Alpay, Saak Gabriyelyan
doaj   +1 more source

Vector-valued extensions of operators through multilinear limited range extrapolation

open access: yes, 2021
We give an extension of Rubio de Francia's extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular we show how boundedness of an $m$-(sub)linear operator \[T:L^{p_1}(w_1^{p_1}
Lorist, Emiel, Nieraeth, Zoe
core   +2 more sources

Homogeneous Banach Spaces as Banach Convolution Modules over M(G)

open access: yesMathematics, 2022
This paper is supposed to form a keystone towards a new and alternative approach to Fourier analysis over LCA (locally compact Abelian) groups G.
Hans Georg Feichtinger
doaj   +1 more source

Boundedness of Littlewood-Paley Operators Associated with Gauss Measures

open access: yesJournal of Inequalities and Applications, 2010
Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
doaj   +2 more sources

New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

open access: yesJournal of Function Spaces and Applications, 2012
The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
doaj   +1 more source

Well posedness for semidiscrete fractional Cauchy problems with finite delay [PDF]

open access: yes, 2017
We address the study of well posedness on Lebesgue spaces of sequences for the following fractional semidiscrete model with finite delay ∆ α u ( n ) = Tu ( n ) + β u ( n − τ ) + f ( n ) , n ∈ N , 0 < α ≤ 1 , β ∈ R , τ
Lizama, Carlos, murillo arcila, marina
core   +2 more sources

On the Rademacher maximal function [PDF]

open access: yes, 2009
Tools known as maximal functions are frequently used in harmonic analysis when studying local behaviour of functions. Typically they measure the suprema of local averages of non-negative functions.
Kemppainen, Mikko
core   +2 more sources

Weight-preserving isomorphisms between spaces of continuous functions: The scalar case [PDF]

open access: yes, 2016
Let F be a finite field (or discrete) and let A andBB be vector spaces of F-valued continuous functions defined on locally compact spaces X and Y , respectively.
Ferrer González, María Vicenta   +2 more
core   +2 more sources

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