Article ID Journal Published Year Pages File Type
4616618 Journal of Mathematical Analysis and Applications 2013 6 Pages PDF
Abstract

We prove the LpLp-estimates for the ∂¯-equation in the exponentially weighted LpLp-spaces on the unit disc. These estimates are extensions of the classical Hörmander weighted L2L2-estimates. We use only a family of holomorphic peak functions with precise growth conditions, which is technically simpler than using multipliers as was done by others in obtaining earlier results.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,