## Communications in Mathematical Analysis

### Parabolic Singular Integrals on Ahlfors Regular Sets

J. Rivera-Noriega

#### Abstract

We present a survey of recent developments on a parabolic version of uniform rectifiability and parabolic singular integrals. In particular we describe some ideas to prove the equivalence between the parabolic uniform rectifiability of a set $E$ and the $L^2(E)$ boundedness of a class of Calder´on Zygmund integrals of parabolic type. We also describe a result on compactness of certain parabolic singular integrals, as well as some related open problems and conjectures.

#### Article information

Source
Commun. Math. Anal., Volume 17, Number 2 (2014), 311-337.

Dates
First available in Project Euclid: 18 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1418919773

Mathematical Reviews number (MathSciNet)
MR3292977

Zentralblatt MATH identifier
1322.42021

#### Citation

Rivera-Noriega, J. Parabolic Singular Integrals on Ahlfors Regular Sets. Commun. Math. Anal. 17 (2014), no. 2, 311--337. https://projecteuclid.org/euclid.cma/1418919773