Sobolev mapping of some holomorphic projections

Abstract

Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to satisfy better Sobolev norm estimates than its Bergman projection.

References in corpus (6)

• The Bergman projection on fat Hartogs triangles: L^p boundedness
• Bergman subspaces and subkernels: Degenerate $L^p$ mapping and zeroes
• Irregularity of the Bergman projection on worm domains in C^n
• Bergman theory of certain generalized Hartogs triangles
• Duality and approximation of Bergman spaces
• Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle

Cited by in corpus (2)

• $L^p$-regularity of the Bergman projection on quotient domains
• Projections onto $L^p$-Bergman spaces of Reinhardt Domains