Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees
Copyright policy )Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees
AbstractIn this paper, we study function spaces defined via dyadic energies on the boundaries of regular trees. We show that correct choices of dyadic energies result in Besov-type spaces that are trace spaces of (weighted) first order Sobolev spaces.
- University of Jyväskylä Finland
46E35, 30L05, trace space, Functional Analysis (math.FA), funktioteoria, Mathematics - Functional Analysis, Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces, regular tree, Analysis on metric spaces, FOS: Mathematics, Matematiikka, potentiaaliteoria, Besov-type space, dyadic norm, funktionaalianalyysi, Mathematics
46E35, 30L05, trace space, Functional Analysis (math.FA), funktioteoria, Mathematics - Functional Analysis, Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces, regular tree, Analysis on metric spaces, FOS: Mathematics, Matematiikka, potentiaaliteoria, Besov-type space, dyadic norm, funktionaalianalyysi, Mathematics
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