W. Ogden

collaborators

2 papers

math.SP2019

Sobolev and Schatten Estimates for the Complex Green Operator on Spheres

Elena Kim, W. Jacob Ogden, Tommie Reerink +1

The complex Green operator $G$ on CR manifolds is the inverse of the Kohn-Laplacian $□_{b}$ on the orthogonal complement of its kernel. In this note, we prove Schatte…

math.CA2019

Polynomials on the Sierpinski Gasket with Respect to Different Laplacians which are Symmetric and Self-Similar

Christian Loring, W. Jacob Ogden, Ely Sandine +1

We study the analogue of polynomials (solutions to $Δ^{n + 1} u = 0$ for some $n$ ) on the Sierpinski gasket ( $S G$ ) with respect to a family of symmetric, self-similar Laplacians const…