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Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces [PDF]
Journal of Inequalities and Applications, 2009 Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
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Weighted Calderón-Hardy spaces [PDF]
Mathematica BohemicaWe present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
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Weighted Sobolev Spaces on Metric Measure Spaces [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2015 We investigate weighted Sobolev spaces on metric measure spaces $(X,d,m)$. Denoting by $\rho$ the weight function, we compare the space $W^{1,p}(X,d,\rho m)$ (which always concides with the closure $H^{1,p}(X,d,\rho m)$ of Lipschitz functions) with the ...
Ambrosio, Luigi +2 more
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On Weighted Sobolev Spaces [PDF]
Canadian Journal of Mathematics, 1996 AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
Seng-Kee Chua
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Global universal approximation of functional input maps on weighted spaces [PDF]
Constructive approximation, 2023 We introduce so-called functional input neural networks defined on a possibly infinite dimensional weighted space with values also in a possibly infinite dimensional output space.
Christa Cuchiero +2 more
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Extrapolation of compactness on weighted spaces [PDF]
Revista matemática iberoamericana, 2020 Let $T$ be a linear operator that, for some $p_1\in(1,\infty)$, is bounded on $L^{p_1}(\tilde w)$ for all $\tilde w\in A_{p_1}(\mathbb R^d)$ and in addition compact on $L^{p_1}(w_1)$ for some $w_1\in A_{p_1}(\mathbb R^d)$. Then $T$ is bounded and compact
T. Hytonen, S. Lappas
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On the linearized system of elasticity in the half-space
AIMS Mathematics, 2022 The purpose of this paper is twofold. The first goal is to provide a simple and constructive proof of Korn inequalities in half-space with weighted norms. The proof leads to explicit values of the constants.
Nabil Kerdid
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Convergence of generalized sampling series in weighted spaces
Demonstratio Mathematica, 2022 The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces.
T. Acar +5 more
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Variational characterizations of weighted Hardy spaces and weighted spaces
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.
Guo, Weichao +3 more
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Norms of some operators between weighted-type spaces and weighted Lebesgue spaces
AIMS Mathematics, 2023 We calculate the norms of several concrete operators, mostly of some integral-type ones between weighted-type spaces of continuous functions on several domains.
Stevo Stević
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