Parabolic singular integrals with nonhomogeneous kernels
Simon Bortz, John W. Hoffman, Steve Hofmann, Jose-Luis Luna Garcia, Kaj Nyström · Bulletin of the London Mathematical Society · 2026
Abstract We establish boundedness of all “nice” parabolic singular integrals on “Good Parabolic Graphs,” aka regular Lip(1,1/2) graphs. The novelty here is that we include nonhomogeneous kernels, which are relevant to the theory of parabolic uniform rectifiability. Previously, Hofmann had treated the case of homogeneous kernels. The present proof combines the methods of that work (which in turn was based on methods described in Christ's CBMS lecture notes), with the techniques of Coifman–David–Meyer.