H. Qiu

activity

20122023

most citedOpen set condition and pseudo Hausdorff measure of self-affine IFSs

7 citations · 38 across the 29 of their papers we have counts for

collaborators

Showing 2019 · math.FAShow all

3 papers · 2 filters

math.FA2019

Spectral analysis beyond $ℓ^{2}$ on Sierpinski lattices

Shiping Cao, Yiqi Huang, Hua Qiu +2

We study the spectrum of the Laplacian on the Sierpinski lattices. First, we show that the spectrum of the Laplacian, as a subset of $C$ , remains the same for any $ℓ^{p}$ …

math.FA2019

Sobolev spaces on p.c.f. self-similar sets: critical orders and atomic decompositions

Shiping Cao, Hua Qiu

We consider the Sobolev type spaces $H^{σ} (K)$ with $σ \geq 0$ , where $K$ is a post-critically finite self-similar set with the natural boundary. Firstly, we compare different classes…

math.FA2019★ 2 cited

Sobolev spaces and trace theorem on the Sierpinski gasket

Shiping Cao, Hua Qiu

On the Sierpinski gasket $S G$ , we consider Sobolev spaces $L_{σ}^{2} (S G)$ associated with the standard Laplacian $Δ$ with order $σ \geq 0$ . When $σ \in Z^{+}$ ,…

Spectral analysis beyond ℓ2 on Sierpinski lattices

Sobolev spaces on p.c.f. self-similar sets: critical orders and atomic decompositions

Sobolev spaces and trace theorem on the Sierpinski gasket

Spectral analysis beyond $ℓ^{2}$ on Sierpinski lattices