Results 11 to 20 of about 315 (36)
A Riesz representation theorem for cone‐valued functions
Abstract and Applied Analysis, Volume 4, Issue 4, Page 209-229, 1999., 1999 We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone‐valued functions and verify that continuous linear functionals on certain spaces of continuous cone‐valued functions endowed with an inductive limit topology may be represented by such integrals.
Walter Roth
wiley +1 more source
Boundedness of vector-valued B-singular integral operators in Lebesgue spaces
Open Mathematics, 2017 We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
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Solution to the first Cousin problem for vector-valued quasianalytic functions [PDF]
, 2017 We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.Comment: 23 ...
Debrouwere, Andreas, Vindas, Jasson
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Multiplication operators on weighted spaces in the non‐locally convex framework
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 75-79, 1997., 1995 Let X be a completely regular Hausdorff space, E a topological vector space, V a Nachbin family of weights on X, and CV0(X, E) the weighted space of continuous E‐valued functions on X. Let θ : X → C be a mapping, f ∈ CV0(X, E) and define Mθ(f) = θf (pointwise). In case E is a topological algebra, ψ : X → E is a mapping then define Mψ(f) = ψf (pointwise)
L. A. Khan, A. B. Thaheem
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Lorentz space estimates for vector fields with divergence and curl in Hardy spaces [PDF]
, 2013 In this note, we establish the estimate on the Lorentz space $L(3/2,1)$ for vector fields in bounded domains under the assumption that the normal or the tangential component of the vector fields on the boundary vanishing.
Giga, Yoshikazu, Xiang, Xingfei
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L‐correspondences: the inclusion Lp(μ, X) ⊂ Lq(ν, Y)
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 723-726, 1996., 1995 In order to study inclusions of the type Lp(μ, X) ⊂ Lq(ν, Y), we introduce the notion of an L‐correspondence. After proving some basic theorems, we give characterizations of some types of L‐correspondences and offer a conjecture that is similar to an equimeasurability theorem.
C. Bryan Dawson
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Continuous linear operators on Orlicz-Bochner spaces
Open Mathematics, 2019 Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and Tφ∧$\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest ...
Nowak Marian
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Multiplication operators on the space of functions of bounded variation
Demonstratio Mathematica, 2017 In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R. +1 more
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Wiener Tauberian theorems for vector‐valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 475-478, 1994., 1993 Different versions of Wiener′s Tauberian theorem are discussed for the generalized group algebra L1(G, A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A‐valued Fourier transforms. A weak form of Wiener′s Tauberian property is introduced and it is proved that L1(G,
K. Parthasarathy, Sujatha Varma
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A Riesz representation theory for completely regular Hausdorff spaces and its applications
Open Mathematics, 2016 Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X, E) be the space of all E-valued bounded, continuous functions on X, equipped with the strict topology β.
Nowak Marian
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