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Bilinear Multipliers on Banach Function Spaces

open access: yesJournal of Function Spaces, 2019
Let X1,X2,X3 be Banach spaces of measurable functions in L0(R) and let m(ξ,η) be a locally integrable function in R2. We say that m∈BM(X1,X2,X3)(R) if Bm(f,g)(x)=∫R∫Rf^(ξ)g^(η)m(ξ,η)e2πidξdη, defined for f and g with compactly supported Fourier transform,
Oscar Blasco
doaj   +3 more sources

A Decomposition of the Dual Space of Some Banach Function Spaces [PDF]

open access: yesJournal 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
doaj   +3 more sources

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

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

Minimization of Tikhonov Functionals in Banach Spaces [PDF]

open access: yesAbstract 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
openaire   +4 more sources

A function space integral for a Banach space of functionals on Wiener space [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
In an earlier paper the authors established the existence of Cameron and Storvick's function space integral J,(F) for a class of finite-dimensional functionals F. Here we consider a space A of not necessarily finite-dimensional functionals generated by the earlier functionals.
Johnson, G. W., Skoug, D. L.
openaire   +2 more sources

A peculiar Banach function space [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
Let (S, E, ,u) be a a-finite measure space. A length function on (S, E, ,u) is a non-negative, extended-real-valued function X on the set P=P(S, E, ,u) of non-negative, real-valued, 2-measurable functions on S such that (1) X(f) = Of = O a.e. (u); (2) X(f+g) ? (f) 1f (f); (5) E C Y, ,ut (E) 0DfEfdA -?< aX (f) for all f CP.
openaire   +2 more sources

Banach spaces of GLT sequences and function spaces

open access: yesThe Electronic Journal of Linear Algebra, 2022
Generalized locally Toeplitz (GLT) sequences of matrices originated from the spectral study of certain partial differential equations. To be more precise, such matrix sequences arise when we numerically approximate either partial differential equations or fractional differential equations using any discretization by local methods (finite differences ...
Kumar, V. B. Kiran   +2 more
openaire   +3 more sources

On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium

open access: yesJournal of Function Spaces, 2022
In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces.
Aftab Hussain   +3 more
doaj   +1 more source

Multipliers of Banach valued weighted function spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We generalize Banach valued spaces to Banach valued weighted function spaces and study the multipliers space of these spaces. We also show the relationship between multipliers and tensor product of Banach valued weighted function spaces.
Serap Öztop
doaj   +1 more source

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