The Group {At}

Authors

  • Alejandro Ortiz Fernández Pontificia Universidad Católica del Perú, Sección Matemáticas. Perú

DOI:

https://doi.org/10.17268/sel.mat.2018.01.04

Keywords:

Singular Integrals, Kernel, Homogeneity, Infinitesimal operator, Calderón-Zygmund

Abstract

In this note we give the motivation and some details about the group {At}, which appears in the generalization of the classical Calder´on-Zygmund’s theory on singular integrals.

References

Calderón, A.P. Integrales Singulares y sus Aplicaciones a Ecuaciones Diferenciales Hiperbólicas. Univ. de Buenos Aires. 1960.

Calderón, A.P. Torchinsky, A. Parabolic Maximal Functions Associated with a Distribution. Adv. in Math. I. 1975. Adv. in Math. II. 1977.

Fabes, E.B.; Riviere, N.M. Singular Integrals with Mixed Homogeneity. Studia Math. 19-38- 1966.

De Guzmán, M. Singular Integral Operators with Generalized Homogeneity. Rev. Acad. C. Madrid. 1970.

Ortiz, A. Operadores Integrales Singulares. Dpto. Matemática. UNT. Trujillo, Perú, 1972.

Riviere, N. Singular Integrals and Multiplier Operators. Ark. Mat. 9. 1971.

Torchinsky, A. Singular Integrals in the spaces (B;X). Studia Math. 47. 1973.

Published

2018-07-27

How to Cite

Ortiz Fernández, A. (2018). The Group {At}. Selecciones Matemáticas, 5(01), 27 - 33. https://doi.org/10.17268/sel.mat.2018.01.04

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