Singular integral operators, a brief historical overview of its evolution

In this work we give an analytical-historical view of the classical theory of singular integrals introduced by A.P. Calderón-A. Zygmund. Emphasis is given to their applications to PDEs and to some projections of the theory.

Bibliographic Details
Main Author: Alejandro Ortiz Fernández
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2022-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4421
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author Alejandro Ortiz Fernández
author_facet Alejandro Ortiz Fernández
author_sort Alejandro Ortiz Fernández
collection DOAJ
description In this work we give an analytical-historical view of the classical theory of singular integrals introduced by A.P. Calderón-A. Zygmund. Emphasis is given to their applications to PDEs and to some projections of the theory.
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spelling doaj.art-5a8ecd59392e4541b7a84f1782863f2c2022-12-22T04:00:58ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832022-07-0190112310.17268/sel.mat.2022.01.01Singular integral operators, a brief historical overview of its evolutionAlejandro Ortiz Fernández0https://orcid.org/0000-0002-9380-4301Sección Matemática, Pontificia Universidad Católica del Perú, Lima, Perú.In this work we give an analytical-historical view of the classical theory of singular integrals introduced by A.P. Calderón-A. Zygmund. Emphasis is given to their applications to PDEs and to some projections of the theory.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4421operatorstransformskernelintegralcauchyweighs
spellingShingle Alejandro Ortiz Fernández
Singular integral operators, a brief historical overview of its evolution
Selecciones Matemáticas
operators
transforms
kernel
integral
cauchy
weighs
title Singular integral operators, a brief historical overview of its evolution
title_full Singular integral operators, a brief historical overview of its evolution
title_fullStr Singular integral operators, a brief historical overview of its evolution
title_full_unstemmed Singular integral operators, a brief historical overview of its evolution
title_short Singular integral operators, a brief historical overview of its evolution
title_sort singular integral operators a brief historical overview of its evolution
topic operators
transforms
kernel
integral
cauchy
weighs
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4421
work_keys_str_mv AT alejandroortizfernandez singularintegraloperatorsabriefhistoricaloverviewofitsevolution