## Abstract On weighted spaces with strictly plurisubharmonic weightfunctions the canonical solution operator of $ {\bar \partial } $ and the $ {\bar \partial } $βNeumann operator are bounded. In this paper we find a class of strictly plurisubharmonic weightfunctions with certain growth conditions,
Tiling space with the aid of the holomorph
β Scribed by James P Conlan
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 268 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
## Abstract We study the bounded approximation property for spaces of holomorphic functions. We show that if __U__ is a balanced open subset of a FrΓ©chetβSchwartz space or (__DFM__ )βspace __E__ , then the space βοΈ(__U__ ) of holomorphic mappings on __U__ , with the compactβopen topology, has the b
We show that a square-tiling of a p\_q rectangle, where p and q are relatively prime integers, has at least log 2 p squares. If q>p we construct a square-tiling with less than qΓp+C log p squares of integer size, for some universal constant C.
A set tiles the integers if and only if the integers can be written as a disjoint union of translates of that set. We consider the problem of finding necessary and sufficient conditions for a finite set to tile the integers. For sets of prime power Ε½ . size, it was solved by D. Newman 1977, J. Numbe