Translator Disclaimer
2014 Parabolic Singular Integrals on Ahlfors Regular Sets
J. Rivera-Noriega
Commun. Math. Anal. 17(2): 311-337 (2014).

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.

Citation

Download Citation

J. Rivera-Noriega. "Parabolic Singular Integrals on Ahlfors Regular Sets." Commun. Math. Anal. 17 (2) 311 - 337, 2014.

Information

Published: 2014
First available in Project Euclid: 18 December 2014

zbMATH: 1322.42021
MathSciNet: MR3292977

Subjects:
Primary: 28A75, 35K08, 42B20, 42B25

Rights: Copyright © 2014 Mathematical Research Publishers

JOURNAL ARTICLE
27 PAGES


SHARE
Vol.17 • No. 2 • 2014
Back to Top