Results 21 to 30 of about 26,263 (256)
Limiting Conditions of Muckenhoupt and Reverse Hölder Classes on Metric Measure Spaces [PDF]
, 2023 Funding Information: Open Access funding provided by Aalto University. The author was supported by the Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters.
Kurki, Emma Karoliina +1 more
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Geo-spatial Information Science, 2021 Recent urban transformations have led to critical reflections on the blighted urban infrastructures and called for re-stimulating vital urban places.
Wei Tu +5 more
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Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces
Stochastic Processes and their Applications, 2013 Starting with a regular symmetric Dirichlet form on a locally compact separable metric space $X$, our paper studies elements of vector analysis, $L_p$-spaces of vector fields and related Sobolev spaces. These tools are then employed to obtain existence and uniqueness results for some quasilinear elliptic PDE and SPDE in variational form on $X$ by ...
Hinz, Michael +2 more
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Resistance Conditions and Applications
Analysis and Geometry in Metric Spaces, 2013 This paper studies analytic aspects of so-called resistance conditions on metric measure spaces with a doubling measure. These conditions are weaker than the usually assumed Poincaré inequality, but however, they are sufficiently strong to imply several ...
Kinnunen Juha, Silvestre Pilar
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Geometric random graphs and Rado sets of continuous functions
Discrete Analysis, 2021 Geometric random graphs and Rado sets of continuous functions, Discrete Analysis 2021:3, 21 pp. For several reasons, random graphs play a central role in the theory of finite graphs.
Anthony Bonato +2 more
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Selected Topics in Analysis in Metric Measure Spaces
, 2021 The thesis is composed by three sections, each devoted to the study of a specific problem in the setting of PI spaces. The problem analyzed are: a C^m Lusin approximation result for horizontal curves in the Heisenberg group, a limit result in the spirit of Burgain-Brezis-Mironescu for Orlicz-Sobolev spaces in Carnot groups and the differentiability of ...
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Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces [PDF]
, 2016 summary:We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak ...
Ohno, Takao, Shimomura, Tetsu
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On the Evaluation of Errors in the Virtual Design of Mechanical Systems
Machines, 2018 In this article, the information value is used in numeric analysis as both a method for data approximation and a measure of data equality among a set of values.
Francesco Villecco
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Nonlinear balayage on metric spaces [PDF]
, 2009 We develop a theory of balayage on complete doubling metric measure spaces supporting a Poincaré inequality. In particular, we are interested in continuity and p-harmonicity of the balayage. We also study connections to the obstacle problem.
Björn, Anders, +7 more
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Hardy's inequality and Green function on metric measure spaces [PDF]
, 2021 Cao J, Grigoryan A, Liu L. Hardy's inequality and Green function on metric measure spaces. Journal of Functional Analysis. 2021;281(3): 109020.We prove an abstract form of Hardy's inequality for local and non-local regular Dirichlet forms on metric ...
Grigoryan, Alexander +2 more
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