Results 31 to 40 of about 2,723,896 (281)
Meagerness of Lipschitz Functions
, 2021 We show that the class of Lipschitz real-valued functions on a compact set $K$ in $\mathbb{R}$ is meager in $C(K)$ with respect to the supremum metric. As these Lipschitz functions are dense in $C(K)$, this result complements the classical surprising ...
Yu-Lin Chou
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Lattices of Lipschitz functions [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a metric space. We observe that \(\text{Lip}(M)\) has a striking lattice structure: its closed unit ball is lattice-complete and completely distributive. This motivates further study into the lattice structure of \(\text{Lip}(M)\) and its relation to \(M\).
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Lq-Estimates for stationary Stokes system with coefficients measurable in one direction [PDF]
Bulletin of Mathematical Sciences, 2019 We study the stationary Stokes system with variable coefficients in the whole space, a half space, and on bounded Lipschitz domains. In the whole and half spaces, we obtain a priori Ẇq1-estimates for any q ∈ [2,∞) when the coefficients are merely ...
Hongjie Dong, Doyoon Kim
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Structure of level sets and Sard-type properties of Lipschitz maps [PDF]
, 2013 We consider certain properties of maps of class C2 from Rd to Rd−1 that are strictly related to Sard’s theorem, and we show that some of them can be extended to Lipschitz maps, while others require some additional regularity.
Bianchini, S. +8 more
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Lipschitz Image of Lipschitz Functions
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lipschitz and bi-Lipschitz Functions
Revista Matemática Iberoamericana, 1988 Let \(f\) be a Lipschitz mapping of a unit cube \(Q_ 0\subset\mathbb{R}^ n\) into \(\mathbb{R}^ m\). The author proves that for each \(\delta>0\) there exist \(M\in\mathbb{R}\) and sets \(K_ 1,\dots,K_ M\subset Q_ 0\) such that the Hausdorff content of \(f\Bigl(Q_ 0\backslash \bigcup^ M_{j=1} K_ j\Bigr)\) is less than \(\delta\) and \(| f(x)- f(y)|
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Banach spaces of Lipschitz functions and vector-valued Lipschitz functions [PDF]
Bulletin of the American Mathematical Society, 1969 liflid = Sup{ lf(s)-f(t)1 d-1(s, t) I s, t E S, s =# t} is finite. Forfe LipE (S, d), let Ilf I .=sup { lf(s) 1 I s E S} and IlfII = max (IlfK a), IlfIId) It is routine to show that 11 is a norm for which LipE (S, d) is a Banach space. When E is the set of real or complex numbers, we drop the subscript and write Lip (S, d).
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Bessel Transform of -Bessel Lipschitz Functions
Journal of Mathematics, 2013 Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
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Locally Lipschitz functions, cofinal completeness, and UC spaces
, 2015 Let X, d be a metric space. We find necessary and sufficient conditions on the space for the locally Lipschitz functions to coincide with each of two more restrictive classes of locally Lipschitz functions studied by several authors: the uniformly ...
Beer, Gerald +1 more
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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