Extensions of the Calderón-Zygmund theory

Autors/ores

Paraules clau:

singular integrals, Calderón–Zygmund, maximal functions.

Resum

Les eines desenvolupades en la dècada de 1950 per Calderón i Zygmund ens permeten demostrar que algunes integrals singulars estan ben definides i fitades en els espais Lp. Tot i que l’espai euclidià fos el context original on totes aquestes idees es varen desenvolupar, aquestes propietats es generalitzen a altres espais mètrics de mesura i a integrals singulars de valors vectorials. Al llarg de les dècades, la teoria ha anat guanyant en abstracció i interès. Encara avui en dia, hi ha operadors que s’escapen de l’abast de la teoria, com és l’operador diàdic esfèric maximal.

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Com citar

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

Número

Vol. 9 Núm. 1 (2024)

Secció

Articles

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