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math.CV2011
Sobolev regularity of the -equation on the Hartogs triangle
Debraj Chakrabarti, Mei-Chi Shaw
The regularity of the -problem on the domain in is studied using methods. Estimates are obtained for the canonical solu…
math.CV2011
A Class of Domains with noncompact -Neumann operator
Debraj Chakrabarti
The -Neumann operator (the inverse of the complex Laplacian) is shown to be noncompact on certain domains in complex Euclidean space. These domains are either highe…