Results 51 to 60 of about 118,444 (224)
Advances in Nonlinear Analysis, 2022 This paper provides the Carleson characterization of the extension of fractional Sobolev spaces and Lebesgue spaces to Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) via space-time fractional equations.
Li Pengtao, Zhai Zhichun
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Embeddings between grand, small and variable Lebesgue spaces
, 2017 We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal.
Cruz-Uribe, David +2 more
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Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, EarlyView.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar +3 more
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Lebesgue points for functions from generalized Sobolev classes Mpa(X) in the critical case
Журнал Белорусского государственного университета: Математика, информатика, 2019 Classical Lebesgue theorem states that for any integrable function almost every point (except the set of measure zero) is a Lebesgue point. The set of the points that are not Lebesgue points is called an exceptional set.
Sergey A. Bondarev
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
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Diophantine approximations and almost periodic functions
Demonstratio Mathematica, 2017 In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
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Boundedness of composition operators on Morrey spaces and weak Morrey spaces
Journal of Inequalities and Applications, 2021 In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on the boundedness of the composition operator ...
Naoya Hatano +3 more
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A Short Journey Through the Riemann Integral [PDF]
, 2014 An introductory-level theory of integration was studied, focusing primarily on the well-known Riemann integral and ending with the Lebesgue integral. An examination of the Riemann integral\u27s basic properties and necessary conditions shows that this ...
Keyton, Jesse
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Rubel's problem on bounded analytic functions
, 2016 The paper shows that for any $G_\delta$ set $F$ of Lebesgue measure zero on the unit circle $T$ there exists a function $f \in H^{\infty}$ such that the radial limits of $f$ exist at each point of $T$ and vanish precisely on $F$.
Danielyan, Arthur A.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source