Results 1 to 10 of about 1,765 (60)

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

Mathematics, 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

Axioms, 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]

Opuscula 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

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

Mathematics, 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
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Boundedness of Littlewood-Paley Operators Associated with Gauss Measures

Journal 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

Journal 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

Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model

Journal of Mathematical Analysis and Applications
42 pages, accepted by Journal of Mathematical Analysis and ...
Mahapatra, Subhankar, Sarkar, Santanu
openaire   +2 more sources

L^p(L^q)-Maximal Regularity for Damped Equations in a Cylindrical Domain

Fractal and Fractional
We show maximal regularity estimates for the damped hyperbolic and strongly damped wave equations with periodic initial conditions in a cylindrical domain.
Edgardo Alvarez, Stiven Díaz, Carlos Lizama   +2 more
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Weighted composition operators between vector-valued Bloch-type spaces on the polydisk

AIMS Mathematics
Let $ X $ and $ Y $ be two complex Banach spaces, $ {\mathbb C}^N $ the $ N $-dimensional complex Euclidean space with the inner product $ \langle z, w\rangle = \sum_{l = 1}^Nz_l\overline{w_l} $ and $ {\mathbb D}^N $ the unit polydisk in $ {\mathbb C}^
Zhi-jie Jiang
doaj   +1 more source

Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations

Fractal and Fractional
This paper is devoted to the general theory of systems of linear time-fractional differential-operator equations. The representation formulas for solutions of systems of ordinary differential equations with single (commensurate) fractional order is known
Sabir Umarov
doaj   +1 more source