D-bar Operators on Quantum Domains
โ Scribed by Slawomir Klimek; Matt McBride
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 543 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1385-0172
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The universal enveloping algebra U(G) of a Lie algebra G acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or quantum group) is a deformation of a universal enveloping algebra and acts not through the differential opera
We consider elliptic operators L in divergence form on certain domains in R d with fractal volume growth. The domains we look at are pre-Sierpinski carpets, which are derived from higher dimensional Sierpinski carpets. We prove a Harnack inequality for non-negative L-harmonic functions on these doma