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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
doaj   +1 more source

On the inclusions of $X^\Phi$ spaces [PDF]

open access: yesMathematica Bohemica, 2023
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of $X^\Phi$ spaces, where $\Phi$ is a Young function and $X$ is a quasi-Banach function space on a $\sigma$-finite measure space $(\Omega ...
Seyyed Mohammad Tabatabaie   +1 more
doaj   +1 more source

Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra

open access: yesEntropy, 2020
We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space.
Kim Young Sik
doaj   +1 more source

On Multipliers of Orlicz Spaces [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2001
Let be a finite positive measure space, X a Banach space, a modulus function and a strongly measurable function. The Orlicz space is. The space of Bochner p-integrable functions, is.Also,.
Mahmud Masri
doaj   +1 more source

BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces

open access: yesJournal of Function Spaces, 2021
Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
doaj   +1 more source

A note on approximation of continuous functions on normed spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
doaj   +1 more source

Banach Spaces as Data Types [PDF]

open access: yesLogical Methods in Computer Science, 2011
We introduce the operators "modified limit" and "accumulation" on a Banach space, and we use this to define what we mean by being internally computable over the space.
Dag Normann
doaj   +1 more source

Banach Lattice Structures and Concavifications in Banach Spaces

open access: yesMathematics, 2020
Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ...
Lucia Agud   +3 more
doaj   +1 more source

Application of a New Class of Characteristic Function

open access: yesJournal of Harbin University of Science and Technology, 2021
In Banach space,considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ,the independent variable is t,and the domain is [0,+ ∞ ) ,and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
doaj   +1 more source

Weighted Vector-Valued Holomorphic Functions on Banach Spaces

open access: yesAbstract and Applied Analysis, 2013
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
doaj   +1 more source

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