10 citations · 32 across the 23 of their papers we have counts for
4 papers · 1 filter
Discrete harmonic functions on infinite penny graphs
Bobo Hua
In this paper, we study discrete harmonic functions on infinite penny graphs. For an infinite penny graph with bounded facial degree, we prove that the volume doubling property and…
Areas of spherical polyhedral surfaces with regular faces
Yohji Akama, Bobo Hua, Yanhui Su
For a finite planar graph, it associates with some metric spaces, called (regular) spherical polyhedral surfaces, by replacing faces with regular spherical polygons in the unit sph…
Riesz transforms for bounded Laplacians on graphs
Li Chen, Thierry Coulhon, Bobo Hua
We study several problems related to the boundedness of Riesz transforms for graphs endowed with so-called bounded Laplacians. Introducing a proper notion of gradient of f…
Lq Harmonic Functions on Graphs
Bobo Hua, Juergen Jost
We prove an analogue of Yau's Caccioppoli-type inequality for nonnegative subharmonic functions on graphs. We then obtain a Liouville theorem for harmonic or non-negative subharmon…