Whitney Extension Problems: <script content-type="math/tex">C^{m} </script> and Sobolev functions on subsets of <script content-type="math/tex">R^{n}</script>

May 29, 2016 - June 3, 2016

Technion - Israel Institute of Technology, Haifa, Israel.

The conference will focus on some of the most vibrant developments in function theory related to the celebrated Whitney extension and trace problems for classes of smooth functions. These include new analytic and geometric methods in the study of differentiable structures on finite sets, extension and trace problems for functions in Sobolev spaces and spaces of generalized smoothness defined on closed subsets of $R^n$, geometric description of Sobolev extension domains, etc. The purpose of the conference is to bring together an international group of experts in the areas of function theory and functional and geometric analysis to report on and discuss recent progress and open problems in the area of Whitney type problems and thus foster interaction and collaboration between researchers in these fields.