Extensions of the Calderón-Zygmund theory

Authors

Keywords:

singular integrals, Calderón–Zygmund, maximal functions.

Abstract

The tools developed in the 1950s by Calder´on and Zygmund enable us to prove that certain singular integrals are well defined and bounded in Lp spaces. Although the Euclidean space was the original context where all these ideas were developed, these properties generalise to other measure metric spaces and to vector-valued singular integrals. Along the decades, the theory has been acquiring abstraction and luring attention. Even nowadays, there are operators that fall outside the scope of the theory, for instance the dyadic spherical maximal operator.

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How to Cite

Ramis Vich, B. (2024). Extensions of the Calderón-Zygmund theory. Reports@SCM, 9(1), 11–20. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/154337

Issue

Vol. 9 No. 1 (2024)

Section

Articles

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