Results 11 to 20 of about 118,444 (224)
Geometry of Lebesgue-Bochner Function Spaces-Smoothness [PDF]
Transactions of the American Mathematical Society, 1973 There exist real Banach spaces E such that the norm in E is of class C' away from zero; however, for any p, I < p < oo, the norm in the Lebesgue-Bochner function space LP(E, ,u) is not even twice differentiable away from zero. The main objective of this paper is to give a complete determination of the order of differentiability of the norm function in ...
Leonard, I. E., Sundaresan, K.
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Rotundity in Lebesgue-Bochner function spaces [PDF]
Transactions of the American Mathematical Society, 1980 This paper concerns the isometric theory of the Lebesgue-Bochner function space L p ( μ , X ) {L^p}(\mu ,\,X) where 1 > p > ∞ 1 > p > \infty .
Smith, Mark A., Turett, Barry
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Property (H) in Lebesgue-Bochner Function Spaces [PDF]
Proceedings of the American Mathematical Society, 1985 We prove that if a Banach space X X has the property (HR) and if l 1 {l_1} is not isomorphic to a subspace of X X , then every point on the unit sphere of X X is a denting point of the closed unit ball.
Lin, Bor-Luh, Lin, Pei-Kee
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Journal of Function Spaces, 2022 Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
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Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]
, 2014 In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
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On the order of magnitude of Walsh-Fourier transform [PDF]
Mathematica Bohemica, 2020 For a Lebesgue integrable complex-valued function $f$ defined on $\mathbb R^+:=[0,\infty)$ let $\hat f$ be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that $\hat f(y)\to0$ as $y\to\infty$.
Bhikha Lila Ghodadra, Vanda Fülöp
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On the General and Measurable Solutions of some Functional Equations
Annales Mathematicae Silesianae, 2018 The general solutions of two functional equations, without imposing any regularity condition on any of the functions appearing, have been obtained. From these general solutions, the Lebesgue measurable solutions have been deduced by assuming the function(
Nath Prem, Singh Dhiraj Kumar
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Inclusion Properties of Henstock-Orlicz Spaces
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In general, a function is Lebesgue integral if only if that function and its modulus are Henstock-Kurzweil integrable functions.
Elin Herlinawati
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International Journal of Mathematics and Mathematical Sciences, 2004 We present some resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger norm. In this work we deal with estimates in (Lebesgue, Lebesgue), (Hölder,
Nikolai Yu. Bakaev
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Neutrosophic Non-Newtonian and Geometric Measures: A Consistent Analytical Framework [PDF]
Neutrosophic Sets and SystemsThe neutrosophic measure is a generalization of the classical measure in situations when the space contains some indeterminacy. In this paper, we introduce the concept of the Neutrosophic Geometric Measure, we also provide some results, and examples ...
Amer Darweesh +4 more
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