Results 1 to 10 of about 2,539 (196)
A Decomposition of the Dual Space of Some Banach Function Spaces [PDF]
Journal of Function Spaces and Applications, 2012 We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
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On the Properties of Quasi-Banach Function Spaces
Journal of Geometric AnalysisAbstractIn this paper we explore some basic properties of quasi-Banach function spaces which are important in applications. Namely, we show that they possess a generalised version of Riesz–Fischer property, that embeddings between them are always continuous, and that the dilation operator is bounded on them.
Ales Nekvinda, Dalimil Pesa
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия 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
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On the inclusions of $X^\Phi$ spaces [PDF]
Mathematica 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
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Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
Entropy, 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
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On Multipliers of Orlicz Spaces [PDF]
مجلة 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
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal 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
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A note on approximation of continuous functions on normed spaces
Karpatsʹkì 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
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Banach Spaces as Data Types [PDF]
Logical 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
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Minimization of Tikhonov Functionals in Banach Spaces [PDF]
Abstract and Applied Analysis, 2008 Tikhonov functionals are known to be well suited for obtaining regularized solutions of linear operator equations. We analyze two iterative methods for finding the minimizer of norm‐based Tikhonov functionals in Banach spaces. One is the steepest descent method, whereby the iterations are directly carried out in the underlying space, and the other one ...
Bonesky, Thomas +4 more
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