Affiliation:
1. Department of Mathematical Sciences Purdue University Fort Wayne Fort Wayne Indiana USA
Abstract
AbstractGiven a bounded planar domain with boundary, , and a weight , we show that the corresponding truncated Beurling operator is a bounded operator sending into itself. Weighted Sobolev estimates for other Cauchy‐type integrals are also obtained.
Reference19 articles.
1. Princeton Mathematical Series;Astala K.,2009
2. On the existence of certain singular integrals
3. Sobolev regularity of the $$\overline{\partial }$$ -equation on the Hartogs triangle
4. Beltrami Equation with Coefficient in Sobolev and Besov Spaces
5. F.Di Plinio A. W.Green andB.Wick Wavelet resolution and Sobolev regularity of Calderön‐Zygmund operators on domains arXiv: 2304.13909.