Results 1 to 10 of about 46 (44)
Almost uniform domains and Poincaré inequalities
Transactions of the London Mathematical Society, 2021 Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
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Properties of multiplication operators on the space of functions of bounded φ-variation
Open Mathematics, 2021 In this paper, the functions u∈BVφ[0,1]u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators Mu{M}_{u} acting on the space of functions of bounded φ\varphi -variation are studied.
Castillo René E. +2 more
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People and Nature, Volume 3, Issue 3, Page 597-609, June 2021., 2021 Abstract Spending time in nature is one potential way to cope with the negative physical and psychological health impacts from major stressful life events. In 2020, a large fraction of the global population was impacted by restrictions to contain the spread of the COVID‐19 outbreak, a period characterised by marked health risks and behavioural changes.
Violeta Berdejo‐Espinola +5 more
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Bounded variation of functions defined on a convex and compact set in the plane
Arab Journal of Basic and Applied Sciences, 2023 In this paper, the variation of functions has been defined, whose domain is a convex and compact set in the plane. Furthermore, in addition to presenting properties that satisfy this variation, the vector space formed by functions with finite variation ...
Mireya Bracamonte, Juan Tutasi
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Demonstratio Mathematica, 2022 Let AΦ(K){{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ\Phi -variation functions defined on a compact set K{\bf{K}} in the complex plane, hh a function defined on K{\bf{K}}, and Mh{M}_{h} a multiplication operator induced by hh.
Bracamonte Mireya +2 more
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Isoperimetric and Poincaré Inequalities on Non-Self-Similar Sierpiński Sponges: the Borderline Case
Analysis and Geometry in Metric Spaces, 2022 In this paper we construct a large family of examples of subsets of Euclidean space that support a 1-Poincaré inequality yet have empty interior. These examples are formed from an iterative process that involves removing well-behaved domains, or more ...
Eriksson-Bique Sylvester, Gong Jasun
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 459-468, 2004., 2004 We consider a Bézier‐Durrmeyer integral variant of the Baskakov operators and study the rate of convergence for functions of bounded variation.
Vijay Gupta, Ulrich Abel
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Local solvability of a constrainedgradient system of total variation
Abstract and Applied Analysis, Volume 2004, Issue 8, Page 651-682, 2004., 2004 A 1‐harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in ℝN, is formulated by the use of subdifferentials of a singular energy—the total variation. An abstract convergence result is established to show that solutions of approximate problem converge to a solution of the limit ...
Yoshikazu Giga +2 more
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On a measure of noncompactness in the space of regulated functions and its applications
Advances in Nonlinear Analysis, 2018 In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
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Stable Approximations of a Minimal Surface Problem with Variational Inequalities
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 137-161, 1997., 1997 In this paper we develop a new approach for the stable approximation of a minimal surface problem associated with a relaxed Dirichlet problem in the space BV(Ω) of functions of bounded variation. The problem can be reformulated as an unconstrained minimization problem of a functional 𝒥 on BV(Ω) defined by 𝒥(u) = 𝒜(u) + ∫∂Ω|Tu − Φ|, where 𝒜(u) is the ...
M. Zuhair Nashed, Otmar Scherzer
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