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Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees

Arcozzi, N., Mozolyako, P. and Perfekt, K.-M. (2019) Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees. Analysis and Mathematical Physics, 9 (3). pp. 937-954. ISSN 1664-235X

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To link to this item DOI: 10.1007/s13324-019-00327-5

Abstract/Summary

In this note we investigate the multi-parameter Potential Theory on the weighted d-tree (Cartesian product of several copies of uniform dyadic tree), which is connected to the discrete models of weighted Dirichlet spaces on the polydisc. We establish some basic properties of the respective potentials, capacities and equilibrium measures (in particular in the case of product polynomial weights). We explore multi-parameter Hardy inequality and its trace measures, and discuss some open problems of potential-theoretic and combinatorial nature.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:83791
Publisher:Springer

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