Results 51 to 60 of about 4,761,041 (315)
Uhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces [PDF]
Results in Mathematics, 2018 We present a self-contained proof of Uhlenbeck's decomposition theorem for $ \in L^p(\mathbb{B}^n,so(m)\otimes ^1\mathbb{R}^n)$ for $p\in (1,n)$ with Sobolev type estimates in the case $p \in[n/2,n)$ and Morrey-Sobolev type estimates in the case $p\in (1,n/2)$.
Anna Zatorska-Goldstein +1 more
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A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
Journal of Inequalities and Applications, 2016 In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
Jian-Ping Zhang, Yun-Zhang Li
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Some sharp Sobolev inequalities on $ BV({\mathbb{R}}^n) $
AIMS Mathematics, 2022 In this paper, some sharp Sobolev inequalities on $ BV({\mathbb{R}}^n) $, the space of functions of bounded variation on $ {\mathbb{R}}^n $, $ n\geq 2 $, are deduced through the $ L_p $ Brunn-Minkowski theory.
Jin Dai , Shuang Mou
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Sobolev spaces on warped products [PDF]
Journal of Functional Analysis, 2018 Corrected few typos in the previous version and updated the ...
Gigli, Nicola, Han, Bang-Xian
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Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
Asian Journal of Control, EarlyView.Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari +2 more
wiley +1 more source
Variable Exponent Spaces of Differential Forms on Riemannian Manifold
Journal of Function Spaces and Applications, 2012 We introduce the Lebesgue space and the exterior Sobolev space for differential forms on Riemannian manifold 𝑀 which are the Lebesgue space and the Sobolev space of functions on 𝑀, respectively, when the degree of differential forms to be zero.
Yongqiang Fu, Lifeng Guo
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Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Abstract and Applied Analysis, 2021 In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev ...
Mai Fujita
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Clarkson’s Inequalities for Periodic Sobolev Space [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The paper is devoted to developing the proof of Clarkson's inequalities for periodic functions belonging to the Sobolev space. The norm of the space has not been considered earlier.
I.V. Korytov
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Journal of Functional Analysis, 1982 AbstractLet Wm,p denote the Sobolev space of functions on Rn whose distributional derivatives of order up to m lie in Lp(Rn) for 1 ⩽ p ⩽ ∞. When 1 < p < ∞, it is known that the multipliers on Wm,p are the same as those on Lp. This result is true for p = 1 only if n = 1.
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