TY  - JOUR
A1  - Chang, Der-Chen
A1  - Schulze, Bert-Wolfgang
T1  - Corner spaces and Mellin quantization
JF  - Journal of nonlinear and convex analysis : an international journal
N2  - Manifolds with corners in the present investigation are non-smooth configurations - specific stratified spaces - with an incomplete metric such as cones, manifolds with edges, or corners of piecewise smooth domains in Euclidean space. We focus here on operators on such "corner manifolds" of singularity order <= 2, acting in weighted corner Sobolev spaces. The corresponding corner degenerate pseudo-differential operators are formulated via Mellin quantizations, and they also make sense on infinite singular cones.
KW  - Mellin quantizations
KW  - operator-valued symbols
KW  - weighted edge and corner spaces
Y1  - 2018
SN  - 1345-4773
SN  - 1880-5221
VL  - 19
IS  - 2
SP  - 179
EP  - 195
PB  - Yokohama Publishers
CY  - Yokohama
ER  -