6533b82efe1ef96bd1292a62

RESEARCH PRODUCT

Trace and density results on regular trees

Zhuang WangKhanh Ngoc NguyenPekka Koskela

subject

Trace (linear algebra)Mathematics::Analysis of PDEsBoundary (topology)01 natural sciencesMeasure (mathematics)Potential theorySet (abstract data type)Combinatoricsregular treeMathematics - Metric Geometry0103 physical sciencesEuclidean geometryClassical Analysis and ODEs (math.CA)FOS: Mathematics0101 mathematicsMathematicsdensityMathematics::Functional Analysis010102 general mathematicsMetric Geometry (math.MG)Functional Analysis (math.FA)Sobolev spaceMathematics - Functional AnalysisMathematics - Classical Analysis and ODEs010307 mathematical physicsTree (set theory)46E35 30L99funktionaalianalyysiAnalysisboundary traceNewtonian space

description

We give characterizations for the existence of traces for first order Sobolev spaces defined on regular trees.

yearjournalcountryeditionlanguage
2019-12-02
https://dx.doi.org/10.48550/arxiv.1912.00810