Results 11 to 20 of about 209 (30)
From Sobolev Inequality to Doubling [PDF]
, 2014 In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying ...
Korobenko, Lyudmila +2 more
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Inscribed Radius Bounds for Lower Ricci Bounded Metric Measure Spaces with Mean Convex Boundary
, 2020 Consider an essentially nonbranching metric measure space with the measure contraction property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm and Villani.
Burtscher, Annegret +3 more
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Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
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Hyperbolic Unfoldings of Minimal Hypersurfaces
Analysis and Geometry in Metric Spaces, 2018 We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
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Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy’s inequalities
Demonstratio Mathematica, 2016 This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure spaces. We discuss two resistance conditions which are stated in terms of capacities.
Kinnunen Juha, Silvestre Pilar
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Non-local Gehring lemmas in spaces of homogeneous type and applications [PDF]
, 2018 We prove a self-improving property for reverse H{\"o}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic partial differential equations as well ...
Auscher, Pascal +3 more
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, 2012 We give an intrinsic characterization of all subsets of a doubling metric space that can arise as a member of some system of dyadic cubes on the underlying space, as constructed by M.
Hytönen, Tuomas, Kairema, Anna
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Lusin-type theorems for Cheeger derivatives on metric measure spaces
, 2015 A theorem of Lusin states that every Borel function on $R$ is equal almost everywhere to the derivative of a continuous function. This result was later generalized to $R^n$ in works of Alberti and Moonens-Pfeffer. In this note, we prove direct analogs of
David, Guy C.
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Analysis and Geometry in Metric Spaces, 2019 The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets
, 2015 We study different definitions of Sobolev spaces on quasiopen sets in a complete metric space equipped with a doubling measure supporting a p-Poincar\'e inequality with ...
Björn, Anders +2 more
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