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math.AP2026
Extension Problems for the Vladimirov--Taibleson Operator and the Hierarchical Laplacian
Yaojia Sun
We establish a non-Archimedean Caffarelli-Silvestre extension theory for the Vladimirov-Taibleson operator for and, more generally, for hierarchical Laplacians . F…
math.AP2026
Energy relations for the generalised Vladimirov derivative via Bruhat-Tits tree extensions
An Huang, Yaojia Sun
We formulate a proof on non-Archimedean analogue of the Caffarelli-Silvestre extension for fractional Laplacian on the Bruhat-Tits tree in terms of energy relations after ide…